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Solonnikov, Vsevolod Alekseevich
(1933–2024)
Statistics Math-Net.Ru
Total publications: 133
Scientific articles: 130

Number of views:
This page:7699
Abstract pages:49386
Full texts:24706
References:1589
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person13058
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/194906
https://elibrary.ru/author_items.asp?authorid=14212

Publications in Math-Net.Ru Citations
2024
1. V. A. Solonnikov, M. A. Vivaldi, “Evolution free boundary problem for the Navier–Stokes equations”, Algebra i Analiz, 36:3 (2024),  213–238  mathnet
2021
2. I. V. Denisova, V. A. Solonnikov, “Stability of the rotation of a two-phase drop with self-gravity”, Zap. Nauchn. Sem. POMI, 508 (2021),  89–123  mathnet
2020
3. V. A. Solonnikov, “$L_p$-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation”, Algebra i Analiz, 32:3 (2020),  254–291  mathnet; St. Petersburg Math. J., 32:3 (2021), 577–604
4. V. A. Solonnikov, “$ L_2$-theory for two viscous fluids of different types: Compressible and incompressible”, Algebra i Analiz, 32:1 (2020),  121–186  mathnet  elib; St. Petersburg Math. J., 32:1 (2021), 91–137  isi  scopus 5
5. V. A. Solonnikov, “Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$”, Zap. Nauchn. Sem. POMI, 489 (2020),  96–112  mathnet
2018
6. V. A. Solonnikov, “On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface”, Algebra i Analiz, 30:2 (2018),  274–317  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:2 (2019), 347–377  isi  scopus 3
2016
7. V. A. Solonnikov, “Proof of Schauder estimates for parabolic initial-boundary value model problems via O. A. Ladyzhenskaya's Fourier multipliers theorem”, Zap. Nauchn. Sem. POMI, 444 (2016),  133–156  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:3 (2017), 475–491  scopus 1
2015
8. V. A. Solonnikov, “On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval”, Algebra i Analiz, 27:3 (2015),  238–271  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:3 (2016), 523–546  isi  scopus 1
2014
9. Sh. Sahaev, V. A. Solonnikov, “On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations”, Algebra i Analiz, 26:6 (2014),  172–197  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:6 (2015), 985–1003  isi  elib  scopus 2
2013
10. V. A. Solonnikov, E. V. Frolova, “Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval”, Zap. Nauchn. Sem. POMI, 410 (2013),  131–167  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 76–97  scopus 13
11. S. J. N. Mosconi, V. A. Solonnikov, “The linearization principle for a free boundary problem for viscous, capillary incompressible fluids”, Zap. Nauchn. Sem. POMI, 410 (2013),  36–103  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 20–60  scopus
2011
12. V. A. Solonnikov, “$L_p$-estimates of solutions of a linear problem arising in magnetohydrodynamics”, Algebra i Analiz, 23:1 (2011),  232–254  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 161–177  isi  scopus 2
13. Sh. Sakhaev, V. A. Solonnikov, “On some stationary problems of magnetohydrodynamics in multi-connected domains”, Zap. Nauchn. Sem. POMI, 397 (2011),  126–149  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:5 (2012), 728–741  scopus 7
14. I. V. Denisova, V. A. Solonnikov, “Global solvability of a problem governing the motion of two incompressible capillary fluids in a container”, Zap. Nauchn. Sem. POMI, 397 (2011),  20–52  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:5 (2012), 668–686  scopus 20
2010
15. V. A. Solonnikov, “On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations”, Algebra i Analiz, 22:6 (2010),  235–269  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:6 (2011), 1023–1049  isi  scopus 16
16. M. Padula, V. A. Solonnikov, “On the free boundary problem of magnetohydrodynamics”, Zap. Nauchn. Sem. POMI, 385 (2010),  135–186  mathnet; J. Math. Sci. (N. Y.), 178:3 (2011), 313–344  scopus 31
2009
17. V. A. Solonnikov, “Instability of rotating fluid”, Zap. Nauchn. Sem. POMI, 370 (2009),  160–183  mathnet; J. Math. Sci. (N. Y.), 166:1 (2010), 91–105  scopus 1
2007
18. V. A. Solonnikov, E. V. Frolova, “On the justification of the quasistationary approximation for the Stefan problem”, Zap. Nauchn. Sem. POMI, 348 (2007),  209–253  mathnet  elib; J. Math. Sci. (N. Y.), 152:5 (2008), 741–768  elib  scopus 6
19. V. A. Solonnikov, “On the stability of uniformly rotating viscous incompressible self-gravitating liquid”, Zap. Nauchn. Sem. POMI, 348 (2007),  165–208  mathnet; J. Math. Sci. (N. Y.), 152:5 (2008), 713–740  scopus 12
2006
20. V. A. Solonnikov, E. V. Frolova, “Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero”, Zap. Nauchn. Sem. POMI, 336 (2006),  239–263  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:2 (2007), 2987–3003  elib  scopus 2
21. V. A. Solonnikov, “Estimates of the solution of model evolution generalized Stokes problem in weighted Hölder spaces”, Zap. Nauchn. Sem. POMI, 336 (2006),  211–238  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:2 (2007), 2969–2986  scopus 4
2004
22. V. A. Solonnikov, “Stability of axis-symmetric equilibrium figures of viscous incompressible liquid”, Algebra i Analiz, 16:2 (2004),  120–153  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:2 (2005), 377–400 21
23. V. A. Solonnikov, “On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid”, Zap. Nauchn. Sem. POMI, 318 (2004),  277–297  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:2 (2006), 3812–3825 6
24. G. A. Seregin, T. N. Shilkin, V. A. Solonnikov, “Boundary partial regularity for the Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 310 (2004),  158–190  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 339–358 26
2003
25. V. A. Solonnikov, “On the Problem of Evolution of an Isolated Liquid Mass”, CMFD, 3 (2003),  43–62  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 124:6 (2004), 5442–5460 5
26. V. A. Solonnikov, “On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator”, Uspekhi Mat. Nauk, 58:2(350) (2003),  123–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 58:2 (2003), 331–365  isi  scopus 76
2002
27. I. V. Denisova, V. A. Solonnikov, “Classical solvability of a problem governing the motion of an isolated mass of a compressible fluid”, Algebra i Analiz, 14:1 (2002),  71–98  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:1 (2002), 53–74 12
28. V. A. Solonnikov, “Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm”, Zap. Nauchn. Sem. POMI, 288 (2002),  204–231  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4637–4653 36
2001
29. V. A. Solonnikov, “Generalized energy estimate in a free boundary problem for viscous incompressible fluid”, Zap. Nauchn. Sem. POMI, 282 (2001),  216–243  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:5 (2004), 1766–1783 23
2000
30. G. I. Bizhanova, V. A. Solonnikov, “On problems with free boundaries for second-order parabolic equations”, Algebra i Analiz, 12:6 (2000),  98–139  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:6 (2001), 949–981 21
31. V. A. Solonnikov, “Initial boundary-value problem for generalized Stokes equations in the half-space”, Zap. Nauchn. Sem. POMI, 271 (2000),  224–275  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2832–2861 9
32. I. V. Denisova, V. A. Solonnikov, “Classical solvability of a model problem in a half-space related to the motion of an isolated mass of a compressible liquid”, Zap. Nauchn. Sem. POMI, 271 (2000),  92–113  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2753–2765 9
33. V. A. Solonnikov, A. Fasano, “One-dimensional parabolic problem arising in the study of some free boundary problems”, Zap. Nauchn. Sem. POMI, 269 (2000),  322–338  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 2066–2075 8
1999
34. V. A. Solonnikov, “Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with Hölder continuous derivatives with respect to spatial variables”, Zap. Nauchn. Sem. POMI, 259 (1999),  254–279  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 1997–2017 13
1997
35. V. A. Solonnikov, “Solvability of a two-dimensional problem with a free boundary that describes the flow of a viscous incompressible fluid through a hole”, Algebra i Analiz, 9:2 (1997),  169–191  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:2 (1998), 319–337 3
36. V. A. Solonnikov, “On the estimate of maximum modulus of solution of stationary problem for the Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 249 (1997),  294–302  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3563–3569 3
37. A. Novotny, P. Penel, V. A. Solonnikov, “Investigation of a problem governing a viscous compressible flow past a body in Hölder spaces”, Zap. Nauchn. Sem. POMI, 245 (1997),  247–269  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2166–2180 1
38. V. A. Solonnikov, E. V. Frolova, “$L_p$-theory of the Stefan problem”, Zap. Nauchn. Sem. POMI, 243 (1997),  299–323  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:1 (2000), 989–1006 14
39. I. Sh. Mogilevskii, V. A. Solonnikov, “Investigation of a problem governing a steady flow of the second grade fluid in the Hölder classes of functions”, Zap. Nauchn. Sem. POMI, 243 (1997),  154–168  mathnet  mathscinet; J. Math. Sci. (New York), 99:1 (2000), 898–906 9
1996
40. V. A. Solonnikov, “On a steady motion of a drop in an infinite liquid medium”, Zap. Nauchn. Sem. POMI, 233 (1996),  233–254  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:5 (1999), 784–799 6
1995
41. I. V. Denisova, V. A. Solonnikov, “Classical solvability of the problem of the motion of two viscous incompressible fluids”, Algebra i Analiz, 7:5 (1995),  101–142  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:5 (1996), 755–786 19
42. P. Maremonti, V. A. Solonnikov, “Estimates for solutions of the nonstationairy Stokes problem in anisotropic Sobolev spaces with mixed norm”, Zap. Nauchn. Sem. POMI, 222 (1995),  124–150  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:5 (1997), 3859–3877 25
43. G. Mulone, V. A. Solonnikov, “On an initial boundary-value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects”, Zap. Nauchn. Sem. POMI, 221 (1995),  167–184  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3381–3392 14
1994
44. G. I. Bizhanova, V. A. Solonnikov, “Some model problems for second-order parabolic equations with a time derivative in the boundary conditions”, Algebra i Analiz, 6:6 (1994),  30–50  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:6 (1995), 1151–1166 5
45. V. A. Solonnikov, “Solvability of a model problem for the Stokes equations in an infinite edge”, Zap. Nauchn. Sem. POMI, 215 (1994),  285–300  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1741–1751
46. V. A. Solonnikov, “On free boundary problems with moving contact points for stationary two-dimensional Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 213 (1994),  179–205  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 84:1 (1997), 930–947 2
1993
47. V. A. Solonnikov, “On a boundary value problem with discontinuous boundary conditions for Stokes and Navier–Stokes equations in the three-dimensional case”, Algebra i Analiz, 5:3 (1993),  252–270  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:3 (1994), 645–660
48. G. I. Bizhanova, V. A. Solonnikov, “On the solvability of an initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space of functions”, Algebra i Analiz, 5:1 (1993),  109–142  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:1 (1994), 97–124 9
49. V. A. Solonnikov, “Solvability of some two-dimensional quasistationary free boundary problems for the Havier–Stokes equations with moving contact points”, Zap. Nauchn. Sem. POMI, 206 (1993),  119–126  mathnet  mathscinet  zmath; J. Math. Sci., 80:4 (1996), 1951–1955 2
1992
50. V. A. Solonnikov, “Problems in the hydrodynamics of a viscous incompressible fluid in domains with noncompact boundaries”, Algebra i Analiz, 4:6 (1992),  28–53  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:6 (1993), 1081–1102 7
51. V. A. Solonnikov, “Solvability of initial-boundary value problem for the equations of motion of a viscous compressible baratropic fluid in the spaces $W_2^{2+l,1+l/2}(Q_T)$”, Zap. Nauchn. Sem. POMI, 200 (1992),  177–186  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3250–3255 1
52. V. A. Solonnikov, “On two-dimensional initial-boundary value problem for the Navier–Stokes equations with discontinuous boundary data”, Zap. Nauchn. Sem. LOMI, 197 (1992),  159–178  mathnet  mathscinet  zmath; J. Math. Sci., 75:6 (1995), 2079–2092
1991
53. V. A. Solonnikov, “Solvability of a problem on the evolution of a viscous incompressible fluid, bounded by a free surface, on a finite time interval.”, Algebra i Analiz, 3:1 (1991),  222–257  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:1 (1992), 189–220 21
54. V. A. Solonnikov, E. V. Frolova, “On a non-stationary problem in a dihedral angle. II”, Zap. Nauchn. Sem. LOMI, 188 (1991),  178–185  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1841–1846 4
55. I. V. Denisova, V. A. Solonnikov, “Hölder spaces solvability of a model initial-boundary value problem generated by a problem on a motion of two fluids”, Zap. Nauchn. Sem. LOMI, 188 (1991),  5–44  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1717–1746 19
1990
56. V. A. Solonnikov, E. V. Frolova, “A problem with the third boundary condition for the Laplace equation in a plane angle and its applications to parabolic problems”, Algebra i Analiz, 2:4 (1990),  213–241  mathnet  mathscinet  zmath; Leningrad Math. J., 2:4 (1991), 891–916 4
57. V. A. Solonnikov, “An initial-boundary value problem for a Stokes system that arises in the study of a problem with a free boundary”, Trudy Mat. Inst. Steklov., 188 (1990),  150–188  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 188 (1991), 191–239 11
58. V. A. Solonnikov, E. V. Frolova, “Investigation of a boundary value problem in a plane infinite wedge for the Laplacean with the boundary condition of a special type”, Zap. Nauchn. Sem. LOMI, 182 (1990),  149–167  mathnet  mathscinet  zmath; J. Soviet Math., 62:3 (1992), 2819–2831 3
59. V. A. Solonnikov, A. Tani, “Free boundary problem for the Navier–Stokes equations for a compressible fluid with a surface tension”, Zap. Nauchn. Sem. LOMI, 182 (1990),  142–148  mathnet  mathscinet  zmath; J. Soviet Math., 62:3 (1992), 2814–2818 7
60. P. Maremonti, V. A. Solonnikov, “An estimate for solutions of the Stokes equations in exteriour domains”, Zap. Nauchn. Sem. LOMI, 180 (1990),  105–120  mathnet  mathscinet  zmath; J. Math. Sci., 68:2 (1994), 229–239 11
1989
61. V. A. Solonnikov, “Unsteady motions of a finite isolated mass of a self-gravitating fluid”, Algebra i Analiz, 1:1 (1989),  207–249  mathnet  mathscinet  zmath; Leningrad Math. J., 1:1 (1990), 227–276 9
62. I. V. Denisova, V. A. Solonnikov, “Solvability of a linearized problem on a motion of a drop in a fluid flow”, Zap. Nauchn. Sem. LOMI, 171 (1989),  53–65  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2309–2316 18
63. Gerd Grubb, V. A. Solonnikov, “Reduction of basic initial-boundary value problems for the Navier–Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations”, Zap. Nauchn. Sem. LOMI, 171 (1989),  36–52  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2300–2308 6
1988
64. V. A. Solonnikov, “Solvability of a problem of the flow of a viscous incompressible fluid into an infinite open basin”, Trudy Mat. Inst. Steklov., 179 (1988),  174–202  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 179 (1989), 193–225 1
1987
65. V. A. Solonnikov, “On the transient motion of an isolated volume of viscous incompressible fluid”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987),  1065–1087  mathnet  mathscinet  zmath; Math. USSR-Izv., 31:2 (1988), 381–405 54
66. Gerd Grubb, V. A. Solonnikov, “Reduction of basic initial-boundary value problems for the Stokes equations to initial-boundary value problems for parabolic systems of pseudodifferential equations”, Zap. Nauchn. Sem. LOMI, 163 (1987),  37–48  mathnet  zmath 1
1986
67. V. A. Solonnikov, “On an unsteady flow of a finite mass of a liquid bounded by a free surface”, Zap. Nauchn. Sem. LOMI, 152 (1986),  137–157  mathnet  zmath 7
1985
68. I. M. Rochman, V. A. Solonnikov, “Weighted $L_p$-estimates for singular integrals with anisotropic kernels”, Zap. Nauchn. Sem. LOMI, 147 (1985),  124–137  mathnet  mathscinet  zmath 1
69. P. Maremonti, V. A. Solonnikov, “On estimates for the solutions to the Dirichlet problem for the Laplacian in exterior domains”, Zap. Nauchn. Sem. LOMI, 146 (1985),  92–101  mathnet  mathscinet  zmath
1984
70. V. A. Solonnikov, “Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid”, Zap. Nauchn. Sem. LOMI, 140 (1984),  179–186  mathnet  mathscinet  zmath; J. Soviet Math., 32:2 (1986), 223–228 22
71. V. A. Solonnikov, “On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge”, Zap. Nauchn. Sem. LOMI, 138 (1984),  146–180  mathnet  mathscinet  zmath 6
1983
72. O. A. Ladyzhenskaya, V. A. Solonnikov, “The initial-boundary value problem for the linearized Navier–Stokes equations in domains with noncompact boundaries”, Trudy Mat. Inst. Steklov., 159 (1983),  37–40  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 159 (1984), 35–39 4
73. W. M. Zajączkowski, V. A. Solonnikov, “On the Heumann problem for second order elliptic equations in domains with edges at the boundary”, Zap. Nauchn. Sem. LOMI, 127 (1983),  7–48  mathnet  mathscinet  zmath 11
1982
74. V. A. Solonnikov, “Solutions of the stationary Navier–Stokes system of equations with an infinite Dirichlet integral”, Zap. Nauchn. Sem. LOMI, 115 (1982),  251–263  mathnet  mathscinet  zmath; J. Soviet Math., 28:5 (1985), 792–799 2
1981
75. V. A. Solonnikov, A. G. Khachatryan, “On the solvability of initial-boundary value problems for quasilinear parabolic systems”, Zap. Nauchn. Sem. LOMI, 110 (1981),  225–234  mathnet  mathscinet  zmath; J. Soviet Math., 25:1 (1984), 967–973
1980
76. V. A. Solonnikov, A. G. Khachatryan, “Estimates for solutions of parabolic initial-boundary value problems in weighted Hölder norms”, Trudy Mat. Inst. Steklov., 147 (1980),  147–155  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 147 (1981), 153–162 7
77. V. A. Solonnikov, “On the solvability of boundary and initial-boundary value problem for the Navier–Stokes equations in domains with noncompact boundaries”, Zap. Nauchn. Sem. LOMI, 96 (1980),  288–293  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 864–868
78. O. A. Ladyzhenskaya, V. A. Solonnikov, “On finding of solutions of the stationary Stokes and Navier–Stokes equations which have an unbounded Dirichlet integral”, Zap. Nauchn. Sem. LOMI, 96 (1980),  117–160  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 728–761 50
1979
79. O. A. Ladyzhenskaya, V. A. Solonnikov, “Determination of the solutions of Navier–Stokes stationary boundary-value problems with infinite dissipation in unbounded regions”, Dokl. Akad. Nauk SSSR, 249:4 (1979),  828–831  mathnet  mathscinet  zmath 2
80. V. A. Solonnikov, “Solvability of a problem on the plane motion of a heavy viscous incompressible capillary liquid partially filling a container”, Izv. Akad. Nauk SSSR Ser. Mat., 43:1 (1979),  203–236  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:1 (1980), 193–221  isi 28
81. V. A. Solonnikov, “Solvability of three-dimentional problem with a free boundary for the stationary system of Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 84 (1979),  252–285  mathnet  mathscinet  zmath; J. Soviet Math., 21:3 (1983), 427–450 20
1977
82. V. A. Solonnikov, “Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface”, Izv. Akad. Nauk SSSR Ser. Mat., 41:6 (1977),  1388–1424  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:6 (1977), 1323–1358 74
83. V. A. Solonnikov, K. I. Pileckas, “Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier–Stokes system of equations in domains with noncompact boundaries”, Zap. Nauchn. Sem. LOMI, 73 (1977),  136–151  mathnet  mathscinet  zmath; J. Soviet Math., 34:6 (1986), 2101–2111 19
84. V. A. Solonnikov, “The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 69 (1977),  200–218  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 141–155 24
85. V. N. Vasil'ev, V. A. Solonnikov, “An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 69 (1977),  34–44  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 22–29 1
1976
86. V. A. Solonnikov, “Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system”, Zap. Nauchn. Sem. LOMI, 59 (1976),  178–254  mathnet  mathscinet  zmath; J. Soviet Math., 10:2 (1978), 336–393 35
87. O. A. Ladyzhenskaya, V. A. Solonnikov, “Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 59 (1976),  81–116  mathnet  mathscinet  zmath; J. Soviet Math., 10:2 (1978), 257–286 103
88. V. A. Solonnikov, “On the solvability of the initial-boundary problem for the equation of motion of the viscosity compressible fluid”, Zap. Nauchn. Sem. LOMI, 56 (1976),  128–142  mathnet  mathscinet  zmath; J. Soviet Math., 14:2 (1980), 1120–1133 58
1975
89. V. A. Solonnikov, “A study of overdetermined elliptic boundary value problems in K. K. Golovkin's fractional spaces”, Trudy Mat. Inst. Steklov., 127 (1975),  93–114  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 127 (1975), 109–134 2
90. Sh. Sakhaev, V. A. Solonnikov, “Estimations of the solutions of a certain boundary value problem of magnetohydrodynamics”, Trudy Mat. Inst. Steklov., 127 (1975),  76–92  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 127 (1975), 87–108 4
91. O. A. Ladyzhenskaya, V. A. Solonnikov, “On unique solvability of initial-boundary value problem for viscous incompessible inhomogeneous liquids”, Zap. Nauchn. Sem. LOMI, 52 (1975),  52–109  mathnet  mathscinet  zmath 8
1974
92. V. A. Solonnikov, “On a class of Noetheriah overdetermined elliptic boundary value problems”, Zap. Nauchn. Sem. LOMI, 47 (1974),  138–154  mathnet  mathscinet  zmath
93. V. A. Solonnikov, “On differential properties of weak solutions of quasilinear equations”, Zap. Nauchn. Sem. LOMI, 39 (1974),  110–119  mathnet  mathscinet  zmath 4
1973
94. V. A. Solonnikov, V. E. Shchadilov, “A certain boundary value problem for the stationary system of Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 125 (1973),  196–210  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 125 (1973), 186–199 12
95. V. A. Solonnikov, “Estimates for solutions of nonstationary Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 38 (1973),  153–231  mathnet  mathscinet  zmath 40
96. O. A. Ladyzhenskaya, V. A. Solonnikov, “On a principle of linearization and invariant manifolds for problems of magnetic hydrodynamics”, Zap. Nauchn. Sem. LOMI, 38 (1973),  46–93  mathnet  mathscinet  zmath 24
1972
97. V. A. Solonnikov, “The differential properties of weak solutions of quasilinear elliptic equations”, Zap. Nauchn. Sem. LOMI, 30 (1972),  174–175  mathnet  mathscinet  zmath
98. V. A. Solonnikov, “On certain inequalities for functions belonging to $\vec W_{p}(R^n)$-classes”, Zap. Nauchn. Sem. LOMI, 27 (1972),  194–210  mathnet  mathscinet  zmath 10
1971
99. V. A. Solonnikov, “On overdetermined elliptic boundary value problems”, Dokl. Akad. Nauk SSSR, 199:2 (1971),  279–281  mathnet  mathscinet  zmath 2
100. V. A. Solonnikov, “The Green's matrices for elliptic boundary value problems. II”, Trudy Mat. Inst. Steklov., 116 (1971),  181–216  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 116 (1971), 187–226 1
101. O. I. Panich, V. A. Solonnikov, “On a question concerning equivalent right regularisator”, Zap. Nauchn. Sem. LOMI, 22 (1971),  192–195  mathnet  mathscinet  zmath 1
102. V. A. Solonnikov, “On operators admitting regularization”, Zap. Nauchn. Sem. LOMI, 21 (1971),  159–163  mathnet  mathscinet  zmath 1
103. V. A. Solonnikov, “Overdetermined elliptic boundary value problems”, Zap. Nauchn. Sem. LOMI, 21 (1971),  112–158  mathnet  mathscinet  zmath 10
1970
104. V. A. Solonnikov, “The Green's matrices for elliptic boundary value problems. I”, Trudy Mat. Inst. Steklov., 110 (1970),  107–145  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 110 (1970), 123–170 3
1969
105. V. A. Solonnikov, “Green matrices for parabolic initial boundary value problems”, Zap. Nauchn. Sem. LOMI, 14 (1969),  256–287  mathnet  mathscinet  zmath 4
106. V. A. Solonnikov, “On the complementing condition for overdetermined systems”, Zap. Nauchn. Sem. LOMI, 14 (1969),  237–255  mathnet  mathscinet  zmath 2
107. V. A. Solonnikov, “Estimates of solutions of parabolic initial-boundary value problems in weighted $L_p$-norms and pointwise estimates”, Zap. Nauchn. Sem. LOMI, 14 (1969),  212–236  mathnet  mathscinet  zmath
1968
108. K. K. Golovkin, V. A. Solonnikov, “On some estimates of convolutions”, Zap. Nauchn. Sem. LOMI, 7 (1968),  6–86  mathnet  mathscinet  zmath 5
1967
109. V. A. Solonnikov, “Estimates in $L_{p}$ of solutions of elliptic and parabolic systems”, Trudy Mat. Inst. Steklov., 102 (1967),  137–160  mathnet  mathscinet 8
1966
110. V. A. Solonnikov, “General boundary value problems for Douglis–Nirenberg elliptic systems. II”, Trudy Mat. Inst. Steklov., 92 (1966),  233–297  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 92 (1968), 269–339 34
111. K. K. Golovkin, V. A. Solonnikov, “Estimates of integral operators in translation-invariant norms. II”, Trudy Mat. Inst. Steklov., 92 (1966),  5–30  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 92 (1968), 3–32 6
1965
112. V. A. Solonnikov, “On boundary value problems for linear parabolic systems of differential equations of general form”, Trudy Mat. Inst. Steklov., 83 (1965),  3–163  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 83 (1965), 1–184 75
1964
113. V. A. Solonnikov, “Estimates of fundamental matrices for general parabolic systems with constant coeffecients”, Dokl. Akad. Nauk SSSR, 158:3 (1964),  532–535  mathnet  mathscinet  zmath
114. V. A. Solonnikov, “Boundary-value problems for general linear parabolic systems”, Dokl. Akad. Nauk SSSR, 157:1 (1964),  56–59  mathnet  mathscinet  zmath 2
115. V. A. Solonnikov, “General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. I”, Izv. Akad. Nauk SSSR Ser. Mat., 28:3 (1964),  665–706  mathnet  mathscinet  zmath 18
116. V. A. Solonnikov, “On the differential properties of the solution of the first boundary-value problem for a non-stationary system of Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 73 (1964),  221–291  mathnet  mathscinet  zmath 10
117. V. A. Solonnikov, “Estimates for solutions of a non-stationary linearized system of Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 70 (1964),  213–317  mathnet  mathscinet  zmath 23
118. V. A. Solonnikov, “A priori estimates for solutions of second-order equations of parabolic type”, Trudy Mat. Inst. Steklov., 70 (1964),  133–212  mathnet  mathscinet  zmath 23
119. K. K. Golovkin, V. A. Solonnikov, “Bounds for integral operators in translation-invariant norms”, Trudy Mat. Inst. Steklov., 70 (1964),  47–58  mathnet  mathscinet  zmath 6
1963
120. V. A. Solonnikov, “Bounds for the solutions of general boundary-value problems for elliptic systems”, Dokl. Akad. Nauk SSSR, 151:4 (1963),  783–785  mathnet  mathscinet  zmath 1
1962
121. K. K. Golovkin, V. A. Solonnikov, “Imbedding theorems for fractional spaces”, Dokl. Akad. Nauk SSSR, 143:4 (1962),  767–770  mathnet  mathscinet  zmath 1
122. V. P. Il'in, V. A. Solonnikov, “Some properties of differentiable functions of several variables”, Trudy Mat. Inst. Steklov., 66 (1962),  205–226  mathnet  mathscinet  zmath 7
1961
123. K. K. Golovkin, V. A. Solonnikov, “The first boundary-value problem for the non-stationary Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 140:2 (1961),  287–290  mathnet  mathscinet  zmath 2
124. V. A. Solonnikov, “A priori estimates for certain boundary-value problems”, Dokl. Akad. Nauk SSSR, 138:4 (1961),  781–784  mathnet  mathscinet  zmath 2
125. V. P. Il'in, V. A. Solonnikov, “Some properties of differentiable functions of many variables”, Dokl. Akad. Nauk SSSR, 136:3 (1961),  538–541  mathnet  mathscinet  zmath
1960
126. V. A. Solonnikov, “Certain properties of fractional order $\mathfrak{W}_p^l$ spaces”, Dokl. Akad. Nauk SSSR, 134:2 (1960),  282–285  mathnet  mathscinet  zmath
127. V. Solonnikov, “On estimates of Green's tensors for certain boundary problems”, Dokl. Akad. Nauk SSSR, 130:5 (1960),  988–991  mathnet  mathscinet  zmath 8
128. V. A. Solonnikov, “Some stationary boundary-value problems of magnetohydrodynamics”, Trudy Mat. Inst. Steklov., 59 (1960),  174–187  mathnet  mathscinet 12
129. O. A. Ladyzhenskaya, V. A. Solonnikov, “Solution of some non-stationary problems of magnetohydrodynamics for a viscous incompressible fluid”, Trudy Mat. Inst. Steklov., 59 (1960),  115–173  mathnet  mathscinet 21
1958
130. V. Solonnikov, “Linear differential equations with a small parameter in the highest derivative term”, Dokl. Akad. Nauk SSSR, 119:3 (1958),  454–457  mathnet  mathscinet  zmath 2
2004
131. V. I. Arnol'd, M. Sh. Birman, A. M. Vershik, M. I. Vishik, I. M. Gel'fand, I. A. Ibragimov, V. P. Maslov, S. P. Novikov, G. A. Seregin, Ya. G. Sinai, M. Z. Solomyak, V. A. Solonnikov, N. N. Ural'tseva, L. D. Faddeev, “Olga Aleksandrovna Ladyzhenskaya (obituary)”, Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:3 (2004), 553–555  isi 2
1964
132. K. K. Golovkin, O. A. Ladyzhenskaya, V. A. Solonnikov, “Errata”, Trudy Mat. Inst. Steklov., 70 (1964),  318  mathnet 1
1961
133. V. P. Il'in, V. A. Solonnikov, “Поправки к статье “О некоторых свойствах дифференцируемых функций многих переменных” (ДАН, т. 136, № 3, 1961 г.)”, Dokl. Akad. Nauk SSSR, 138:6 (1961),  1254  mathnet

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