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Sobolevskii, Pavel Evseyevich
(1930–2018)
Statistics Math-Net.Ru
Total publications: 89
Scientific articles: 89

Number of views:
This page:2913
Abstract pages:13877
Full texts:6852
References:153
Professor
Doctor of physico-mathematical sciences
Birth date: 26.03.1930

https://www.mathnet.ru/eng/person26541
https://vrnency.ru/vol-2/ve-2-s/b-00421-s
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/193541

Publications in Math-Net.Ru Citations
1991
1. I. F. Lezhenina, P. E. Sobolevskii, “Estimation of solutions of a parabolic equation with a singular estimate for the coefficient”, Dokl. Akad. Nauk SSSR, 318:5 (1991),  1072–1077  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 855–860
2. E. P. Sobolevskii, P. E. Sobolevskii, “The commutant method and the coercivity of the Cauchy problem”, Dokl. Akad. Nauk SSSR, 316:4 (1991),  825–829  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 205–208
1990
3. Yu. Ya. Agranovich, P. E. Sobolevskii, “Motion of a nonlinear viscoelastic fluid”, Dokl. Akad. Nauk SSSR, 314:3 (1990),  521–525  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 474–478 2
1989
4. V. P. Orlov, P. E. Sobolevskii, “Solvability of a one-dimensional problem in thermoelasticity”, Dokl. Akad. Nauk SSSR, 304:5 (1989),  1105–1109  mathnet  mathscinet  zmath; Dokl. Math., 34:2 (1989), 120–121
1988
5. P. E. Sobolevskii, “Embedding theorems for elliptic and parabolic operators in $C$”, Dokl. Akad. Nauk SSSR, 302:1 (1988),  34–37  mathnet  mathscinet  zmath; Dokl. Math., 38:2 (1989), 262–265
6. P. E. Sobolevskii, “Elliptic and parabolic operators in $C$”, Dokl. Akad. Nauk SSSR, 298:4 (1988),  815–819  mathnet  mathscinet  zmath
1987
7. P. E. Sobolevskii, “Periodic motions of a nonlinearly viscous fluid”, Dokl. Akad. Nauk SSSR, 292:1 (1987),  41–46  mathnet  mathscinet  zmath
1986
8. P. E. Sobolevskii, “Stability of motion of a nonlinearly viscous fluid”, Dokl. Akad. Nauk SSSR, 291:5 (1986),  1067–1071  mathnet  mathscinet  zmath
9. Yu. T. Sil'chenko, P. E. Sobolevskii, “Solvability of the Cauchy problem for an evolution equation in a Banach space with a non-densely given operator coefficient which generates a semigroup with a singularity”, Sibirsk. Mat. Zh., 27:4 (1986),  93–104  mathnet  mathscinet  zmath; Siberian Math. J., 27:4 (1986), 544–553  isi 7
1985
10. P. E. Sobolevskii, “The existence of solutions of a mathematical model of a nonlinear viscous fluid”, Dokl. Akad. Nauk SSSR, 285:1 (1985),  44–48  mathnet  mathscinet  zmath 2
1984
11. A. O. Ashyralyev, P. E. Sobolevskii, “The theory of interpolation of linear operators and the stability of difference schemes”, Dokl. Akad. Nauk SSSR, 275:6 (1984),  1289–1291  mathnet  mathscinet  zmath
1983
12. P. E. Sobolevskii, “Investigation of the asymptotically Newtonian model of a fluid”, Dokl. Akad. Nauk SSSR, 271:2 (1983),  300–304  mathnet  mathscinet  zmath
13. P. E. Sobolevskii, S. M. Semenov, “On an approach to the investigation of degenerate hyperbolic equations”, Dokl. Akad. Nauk SSSR, 270:3 (1983),  555–558  mathnet  mathscinet  zmath
1979
14. I. N. Gurova, P. E. Sobolevskii, “$L$-characteristics of fractional powers of difference operators”, Mat. Zametki, 25:1 (1979),  123–137  mathnet  mathscinet  zmath; Math. Notes, 25:1 (1979), 65–72  isi 1
1978
15. P. E. Sobolevskii, È. A. Shteynvil, “An approach to the solution of ill-posed problems”, Differ. Uravn., 14:5 (1978),  900–904  mathnet  mathscinet  zmath
16. P. E. Sobolevskii, E. V. Chebatoreva, “The method of lines for the approximate solution of mixed problems for a one-dimensional hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 3,  61–75  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:3 (1978), 53–54
17. A. E. Polička, P. E. Sobolevskiĭ, “Correct solvability of parabolic difference equations in Bochner spaces”, Tr. Mosk. Mat. Obs., 36 (1978),  29–57  mathnet  mathscinet  zmath
18. Yu. I. Zagorodnikov, P. E. Sobolevskii, “Application of the method of fractional powers of operators to the study of the Crank–Nicolson scheme for Navier–Stokes equations”, Sibirsk. Mat. Zh., 19:2 (1978),  303–317  mathnet  mathscinet  zmath; Siberian Math. J., 19:2 (1978), 212–222  isi
19. Yu. I. Zagorodnikov, P. E. Sobolevskii, “Application of the method of fractional powers of operators to the study of a two-dimensional difference system of Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  385–393  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:2 (1978), 88–95
1977
20. Kh. A. Alibekov, P. E. Sobolevskii, “On the stability of difference schemes for parabolic equations”, Dokl. Akad. Nauk SSSR, 232:4 (1977),  737–740  mathnet  mathscinet  zmath 1
21. P. E. Sobolevskii, L. M. Chebotareva, “Approximate solution of the Cauchy problem for an abstract hyperbolic equation by the method of lines”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 5,  103–116  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:5 (1977), 89–100
22. P. E. Sobolevskii, “Fractional powers of coercive-positive sums of operators”, Sibirsk. Mat. Zh., 18:3 (1977),  637–657  mathnet  mathscinet  zmath; Siberian Math. J., 18:3 (1977), 454–469  isi 1
23. Yu. I. Zagorodnikov, P. E. Sobolevskii, “Some difference methods for the approximate solution of nonstationary Navier–Stokes equations”, Sibirsk. Mat. Zh., 18:1 (1977),  81–96  mathnet  mathscinet  zmath; Siberian Math. J., 18:1 (1977), 60–71  isi
1976
24. Yu. I. Zagorodnikov, P. E. Sobolevskii, “On the application of the method of fractional powers of operators to the study of a two-dimensional difference system for the Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 228:2 (1976),  281–284  mathnet  mathscinet  zmath
25. A. E. Polichka, P. E. Sobolevskii, “Rothe's method of approximate solution of the Cauchy problem for differential equations in a Banach space with a variable unbounded operator”, Differ. Uravn., 12:9 (1976),  1693–1704  mathnet  mathscinet  zmath 1
26. I. D. Evzerov, P. E. Sobolevskii, “The resolvent and fractional powers of ordinary differential operators in spaces of smooth functions”, Differ. Uravn., 12:2 (1976),  227–233  mathnet  mathscinet  zmath 1
27. A. E. Polichka, P. E. Sobolevskii, “New $L_{p}$ estimates for parabolic difference problems”, Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976),  1155–1163  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:5 (1976), 65–74 1
1975
28. P. E. Sobolevskii, “Fractional powers of coercively positive sums of operators”, Dokl. Akad. Nauk SSSR, 225:6 (1975),  1271–1274  mathnet  mathscinet  zmath
29. V. P. Orlov, P. E. Sobolevskii, “On the resolvent of a degenerate operator in Banach space”, Dokl. Akad. Nauk SSSR, 221:5 (1975),  1035–1037  mathnet  mathscinet  zmath
30. L. M. Gershtein, P. E. Sobolevskii, “Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II”, Differ. Uravn., 11:7 (1975),  1335–1337  mathnet  mathscinet  zmath
31. V. P. Orlov, P. E. Sobolevskii, “The resolvent of a degenerate operator in a Banach space”, Differ. Uravn., 11:5 (1975),  858–868  mathnet  mathscinet  zmath
1974
32. L. M. Gershtein, P. E. Sobolevskii, “Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space”, Differ. Uravn., 10:11 (1974),  2059–2061  mathnet  mathscinet  zmath
33. S. I. Primakova, P. E. Sobolevskii, “The coercive solvability of fourth order difference equations”, Differ. Uravn., 10:9 (1974),  1699–1713  mathnet  mathscinet  zmath
34. P. E. Sobolevskii, È. A. Shteynvil, “The correct solvability of an extended boundary value problem for a parabolic equation”, Differ. Uravn., 10:9 (1974),  1692–1698  mathnet  mathscinet  zmath
35. Ya. A. Smirnickii, P. E. Sobolevskii, “Embedding theorems for fractional norms generated by an elliptic operator”, Mat. Zametki, 15:1 (1974),  91–100  mathnet  mathscinet  zmath; Math. Notes, 15:1 (1974), 50–55 1
1973
36. I. D. Evzerov, P. E. Sobolevskii, “Fractional powers of ordinary differential operators”, Differ. Uravn., 9:2 (1973),  228–240  mathnet  mathscinet 3
1972
37. Yu. T. Sil'chenko, P. E. Sobolevskii, “Solvability in the large of the first boundary value problem for a certain class of quasilinear one-dimensional parabolic equations”, Differ. Uravn., 8:10 (1972),  1904–1905  mathnet  mathscinet  zmath
38. V. P. Anosov, P. E. Sobolevskii, “On coercive solvability of parabolic equations”, Mat. Zametki, 11:4 (1972),  409–419  mathnet  mathscinet  zmath; Math. Notes, 11:4 (1972), 251–256 2
1971
39. P. E. Sobolevskii, “On coercive solvability of difference equations”, Dokl. Akad. Nauk SSSR, 201:5 (1971),  1063–1066  mathnet  mathscinet  zmath 2
40. P. E. Sobolevskii, “Semigroups of growth $\alpha$”, Dokl. Akad. Nauk SSSR, 196:3 (1971),  535–537  mathnet  mathscinet  zmath 4
41. P. E. Sobolevskii, “Degenerate parabolic operators”, Dokl. Akad. Nauk SSSR, 196:2 (1971),  302–304  mathnet  mathscinet  zmath 1
42. V. P. Anosov, P. E. Sobolevskii, “Coercive solvability of a boundary value problem for a second order elliptic equation in a Banach space. I, II”, Differ. Uravn., 7:12 (1971),  2191–2198  mathnet  mathscinet  zmath 1
43. V. P. Anosov, P. E. Sobolevskii, “Coercive solvability of a boundary-value problem for a second-order elliptic equation in Banach space. I”, Differ. Uravn., 7:11 (1971),  2030–2044  mathnet  zmath 1
44. P. E. Sobolevskii, A. I. Yasakov, “The equations of parabolic type with nonpower nonlinearities”, Differ. Uravn., 7:8 (1971),  1503–1511  mathnet  mathscinet  zmath 1
1970
45. P. E. Sobolevskii, “On $S$-numbers of positive operators”, Dokl. Akad. Nauk SSSR, 193:6 (1970),  1245–1247  mathnet  mathscinet  zmath
46. V. V. Smagin, P. E. Sobolevskii, “Comparison theorems for the norms of the solutions of linear homogeneous differential equations in Hilbert spaces”, Differ. Uravn., 6:11 (1970),  2005–2010  mathnet  mathscinet  zmath
47. V. P. Anosov, P. E. Sobolevskii, “Functional equations in the theory of semigroups”, Mat. Zametki, 7:5 (1970),  635–640  mathnet  mathscinet  zmath; Math. Notes, 7:5 (1970), 382–385
1969
48. P. E. Sobolevskii, M. N. Titenskii, “An investigation of the solvability of perturbed parabolic equations in a Banach space, and a generalized Bubnov–Galerkin method for their approximate solution”, Differ. Uravn., 5:8 (1969),  1495–1502  mathnet  mathscinet  zmath
49. V. G. Raskin, P. E. Sobolevskii, “Expansion of the solutions of second order differential equations in Banach spaces in series of exponential solutions”, Differ. Uravn., 5:3 (1969),  543–545  mathnet  mathscinet  zmath
1968
50. P. E. Sobolevskii, “Fractional integration by parts”, Dokl. Akad. Nauk SSSR, 183:6 (1968),  1269–1272  mathnet  mathscinet  zmath
51. P. E. Sobolevskii, “Quasilinear equations in a Banach space”, Dokl. Akad. Nauk SSSR, 183:5 (1968),  1020–1023  mathnet  mathscinet  zmath
52. P. E. Sobolevskii, “Differential equations with unbounded operators which generate nonanalytic semigroups”, Dokl. Akad. Nauk SSSR, 183:2 (1968),  292–295  mathnet  mathscinet  zmath
53. P. E. Sobolevskii, “The Bubnov–Galerkin method for parabolic equations in Hilbert space”, Dokl. Akad. Nauk SSSR, 178:3 (1968),  548–551  mathnet  mathscinet  zmath
54. P. E. Sobolevskii, “A certain type of differential equations in a Banach space”, Differ. Uravn., 4:12 (1968),  2278–2280  mathnet  mathscinet  zmath
55. P. E. Sobolevskii, “Elliptic equations in a Banach space”, Differ. Uravn., 4:7 (1968),  1346–1348  mathnet  mathscinet  zmath
1967
56. P. E. Sobolevskii, “Parabolic equations in spaces of means”, Dokl. Akad. Nauk SSSR, 177:2 (1967),  281–284  mathnet  mathscinet  zmath
57. P. E. Sobolevskii, “Comparison theorem for fractional powers of operators”, Dokl. Akad. Nauk SSSR, 174:2 (1967),  294–297  mathnet  mathscinet  zmath
58. P. E. Sobolevskii, “On the $s$-numbers of integral operators”, Uspekhi Mat. Nauk, 22:2(134) (1967),  114–116  mathnet  mathscinet 1
59. V. A. Pogorelenko, P. E. Sobolevskii, “Hyperbolic equations in a Banach space”, Uspekhi Mat. Nauk, 22:1(133) (1967),  170–172  mathnet  mathscinet
60. P. E. Sobolevskii, V. A. Pogorelenko, “Hyperbolic equations in a Hilbert space”, Sibirsk. Mat. Zh., 8:1 (1967),  123–145  mathnet  mathscinet  zmath; Siberian Math. J., 8:1 (1967), 92–108 2
61. V. G. Raskin, P. E. Sobolevskii, “The Cauchy problem for differential equations of second order in Banach spaces”, Sibirsk. Mat. Zh., 8:1 (1967),  70–90  mathnet  mathscinet  zmath; Siberian Math. J., 8:1 (1967), 52–68 3
1966
62. P. E. Sobolevskii, “Investigation of general boundary value problems for parabolic equations by the method of differential equations in a Banach space”, Dokl. Akad. Nauk SSSR, 170:5 (1966),  1024–1027  mathnet  mathscinet  zmath
63. P. E. Sobolevskii, “On fractional powers of weakly positive operators”, Dokl. Akad. Nauk SSSR, 166:6 (1966),  1296–1299  mathnet  mathscinet  zmath
64. P. E. Sobolevskii, “Solvability of parabolic equations in Lorentz spaces”, Uspekhi Mat. Nauk, 21:1(127) (1966),  169–171  mathnet
1965
65. P. E. Sobolevskii, “Generalized solutions of first order differential equations in Banach space”, Dokl. Akad. Nauk SSSR, 165:3 (1965),  486–489  mathnet  mathscinet  zmath
1964
66. P. E. Sobolevskii, “Coerciveness inequalities for abstract parabolic equations”, Dokl. Akad. Nauk SSSR, 157:1 (1964),  52–55  mathnet  mathscinet  zmath 13
67. P. E. Sobolevskii, “An investigation of the Navier–Stokes equations by methods of the theory of parabolic equations in Banach spaces”, Dokl. Akad. Nauk SSSR, 156:4 (1964),  745–748  mathnet  mathscinet  zmath 1
68. P. E. Sobolevskii, “Application of the method of fractional powers of operators to the study of the Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 155:1 (1964),  50–53  mathnet  mathscinet 1
69. P. E. Sobolevskii, “On fractional norms in Banach space generated by the unbounded operator”, Uspekhi Mat. Nauk, 19:6(120) (1964),  219–222  mathnet 3
70. P. E. Sobolevskii, “Second order equations in Banach space with a small parameter at the higher derivative”, Uspekhi Mat. Nauk, 19:6(120) (1964),  217–219  mathnet
1962
71. P. E. Sobolevskii, “On second-order differential equations in a Banach space”, Dokl. Akad. Nauk SSSR, 146:4 (1962),  774–777  mathnet  mathscinet  zmath
72. M. A. Krasnosel'skii, P. E. Sobolevskii, “The structure of the set of solutions of equations of parabolic type”, Dokl. Akad. Nauk SSSR, 146:1 (1962),  26–29  mathnet  mathscinet  zmath
73. P. E. Sobolevskii, “Green's functions of arbitrary (in particular, integer) powers of elliptic operators”, Dokl. Akad. Nauk SSSR, 142:4 (1962),  804–807  mathnet  mathscinet  zmath 1
74. V. G. Maz'ya, P. E. Sobolevskii, “On generating operators of semi-groups”, Uspekhi Mat. Nauk, 17:6(108) (1962),  151–154  mathnet  mathscinet  zmath 1
1961
75. P. E. Sobolevskii, “Estimates of the Green's function of second-order partial differential equations of parabolic type”, Dokl. Akad. Nauk SSSR, 138:2 (1961),  313–316  mathnet  mathscinet
76. P. E. Sobolevskii, “Parabolic equations in a Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition”, Dokl. Akad. Nauk SSSR, 138:1 (1961),  59–62  mathnet  mathscinet  zmath
77. P. E. Sobolevskii, “Local and nonlocal existence theorems for nonlinear second-order parabolic equations”, Dokl. Akad. Nauk SSSR, 136:2 (1961),  292–295  mathnet  mathscinet  zmath
78. P. E. Sobolevskii, “Equations of parabolic type in a Banach space”, Tr. Mosk. Mat. Obs., 10 (1961),  297–350  mathnet  mathscinet  zmath 47
79. P. E. Sobolevskii, “On logarithms of normal positive operators”, Uspekhi Mat. Nauk, 16:4(100) (1961),  206–208  mathnet 1
80. P. E. Sobolevskii, “On logarithms of normal positive operators”, Uspekhi Mat. Nauk, 16:3(99) (1961),  212–214  mathnet
81. M. A. Krasnosel'skii, P. E. Sobolevskii, “Non-negative eigenfunction of the first boundary value problem for elliptic equation”, Uspekhi Mat. Nauk, 16:1(97) (1961),  197–199  mathnet 3
1960
82. P. E. Sobolevskii, “On the smoothness of generalized solutions of the Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 131:4 (1960),  758–760  mathnet  mathscinet  zmath
83. P. E. Sobolevskii, “The use of fractional powers of self-adjoined operators in the investigation of some non-linear differential equations in Hilbert space”, Dokl. Akad. Nauk SSSR, 130:2 (1960),  272–275  mathnet  mathscinet  zmath 1
1958
84. P. E. Sobolevskii, “First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain”, Dokl. Akad. Nauk SSSR, 123:6 (1958),  984–987  mathnet  mathscinet  zmath
85. P. E. Sobolevskii, “Generalized solutions of the first order differential equations in Hilbert space”, Dokl. Akad. Nauk SSSR, 122:6 (1958),  994–996  mathnet  mathscinet  zmath 1
86. S. G. Krein, P. E. Sobolevskii, “Differential equation with abstract elliptical operator in Hilbert space”, Dokl. Akad. Nauk SSSR, 118:2 (1958),  233–236  mathnet  mathscinet  zmath 2
1957
87. P. E. Sobolevskii, “On equations with operators forming an acute angle”, Dokl. Akad. Nauk SSSR, 116:5 (1957),  754–757  mathnet  mathscinet  zmath 10
88. P. E. Sobolevskii, “Approximate methods of solving differential equations in Banach space”, Dokl. Akad. Nauk SSSR, 115:2 (1957),  240–243  mathnet  mathscinet  zmath
89. M. A. Krasnosel'skii, S. G. Krein, P. E. Sobolevskii, “On differential equations with unbounded operators in Hilbert space”, Dokl. Akad. Nauk SSSR, 112:6 (1957),  990–993  mathnet  mathscinet  zmath 1

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