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Ivanov, Aleksandr Vasil'evich
(1936–2000)
Statistics Math-Net.Ru
Total publications: 72
Scientific articles: 72

Number of views:
This page:2658
Abstract pages:11484
Full texts:5250
References:66
Doctor of physico-mathematical sciences (1981)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)

https://www.mathnet.ru/eng/person34493
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/188245
https://elibrary.ru/author_items.asp?authorid=14214

Publications in Math-Net.Ru Citations
2003
1. H. R. Dullin, A. V. Ivanov, “Twistless tori near low order resonances”, Zap. Nauchn. Sem. POMI, 300 (2003),  135–144  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2754–2760 1
1999
2. A. V. Ivanov, J.-F. Rodrigues, “Generalized solutions of a problem with an obstacle for quasilinear elliptic-parabolic equations”, Algebra i Analiz, 11:3 (1999),  79–122  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:3 (2000), 457–484 1
3. A. V. Ivanov, J.-F. Rodrigues, “Existence and uniqueness of a weak solution to the initial mixt boundary value problem for quasilinear elliptic-parabolic equations”, Zap. Nauchn. Sem. POMI, 259 (1999),  67–88  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 1851–1866 7
1997
4. A. V. Ivanov, W. Jäger, “Existence and uniqueness of a regular solution of Cauchy–Dirichlet problem for equation of turbulent filtration”, Zap. Nauchn. Sem. POMI, 249 (1997),  153–198  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3472–3502 4
5. A. V. Ivanov, “The regularity theory for $(m,l)$-Laplacian parabolic equation”, Zap. Nauchn. Sem. POMI, 243 (1997),  87–110  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:1 (2000), 854–869 5
1996
6. A. V. Ivanov, “Gradient estimates for doubly nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 233 (1996),  63–100  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:5 (1999), 661–688 2
1995
7. A. V. Ivanov, “Hölder estimates for a natural class of equations of the type of fast diffusion”, Zap. Nauchn. Sem. POMI, 229 (1995),  29–62  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:6 (1998), 1607–1630 14
8. A. V. Ivanov, “Maximum modulus estimates for generalized solutions of doubly nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 221 (1995),  83–113  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3322–3342 3
1994
9. A. V. Ivanov, “Hölder estimates for equations of fast diffusion type”, Algebra i Analiz, 6:4 (1994),  101–142  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:4 (1995), 791–825 2
10. A. V. Ivanov, “Hölder estimates for equations of the type of slow or normal diffusion”, Zap. Nauchn. Sem. POMI, 215 (1994),  130–136  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1640–1644 8
11. A. V. Ivanov, P. Z. Mkrtychian, W. Jäger, “Existence and uniqueness of regular solution of Cauchy–Dirichlet problem for some class of doubly nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 213 (1994),  48–65  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 84:1 (1997), 845–855 25
12. A. V. Ivanov, “Regularity for doubly nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 209 (1994),  37–59  mathnet  mathscinet  zmath; J. Math. Sci., 83:1 (1997), 22–37 25
1993
13. A. V. Ivanov, P. Z. Mkrtchan, “On the regularity in time of weak solutions of quasilinear doubly degenerate parabolic equations”, Zap. Nauchn. Sem. POMI, 206 (1993),  78–84  mathnet  mathscinet  zmath; J. Math. Sci., 80:4 (1996), 1922–1926
1992
14. A. V. Ivanov, “Quasilinear parabolic equations that admit double degeneration”, Algebra i Analiz, 4:6 (1992),  114–130  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:6 (1993), 1153–1168 10
15. A. V. Ivanov, M. Frasca, “Partial regularity for quasilinear nonuniformly elliptic systems of the total type”, Zap. Nauchn. Sem. POMI, 200 (1992),  62–70  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3178–3182 1
16. A. V. Ivanov, “The classes $\mathcal{B}_{m,l}$ and Hölder estimates for quasilinear doubly degenerate parabolic equations”, Zap. Nauchn. Sem. LOMI, 197 (1992),  42–70  mathnet  mathscinet  zmath; J. Math. Sci., 75:6 (1995), 2011–2027 6
1991
17. A. V. Ivanov, “Uniform Hölder estimates for generalized solutions of quasilinear parabolic equations that admit double degeneration”, Algebra i Analiz, 3:2 (1991),  139–179  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:2 (1991), 363–403 1
18. A. V. Ivanov, P. Z. Mkrtchian, “On regularity up to the boundary of weak solutions of the first boundary value problem for quazilinear doubly degenerate equations”, Zap. Nauchn. Sem. LOMI, 196 (1991),  83–98  mathnet  mathscinet  zmath; J. Math. Sci., 70:6 (1994), 2112–2122 1
19. A. V. Ivanov, “Hölder estimates near the boundary for quasilinear doubly degenerate parabolic equations”, Zap. Nauchn. Sem. LOMI, 188 (1991),  45–69  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1747–1766
1990
20. A. V. Ivanov, P. Z. Mkrtychyan, “A weighted estimate of the gradient for generalized solutions of quasilinear degenerate parabolic equations”, Trudy Mat. Inst. Steklov., 188 (1990),  53–58  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 188 (1991), 65–72
21. A. V. Ivanov, “Regularity of generalized solutions of second-order quasilinear degenerate parabolic systems”, Trudy Mat. Inst. Steklov., 188 (1990),  22–52  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 188 (1991), 25–63
22. A. V. Ivanov, P. Z. Mkrtychian, “On existence of Hölder continuous generalized solutions of first boundary value problem for quasilinear doubly degenerate parabolic equations”, Zap. Nauchn. Sem. LOMI, 182 (1990),  5–28  mathnet  mathscinet  zmath; J. Soviet Math., 62:3 (1992), 2725–2740 16
23. A. V. Ivanov, P. Z. Mkrtychian, “Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations”, Zap. Nauchn. Sem. LOMI, 181 (1990),  3–23  mathnet  mathscinet  zmath; J. Soviet Math., 62:2 (1992), 2605–2619 1
1989
24. A. A. Zykov, A. V. Ivanov, “Partial regularity of generalized solutions of quasilinear parabolic systems of a nondifferentiable structure”, Algebra i Analiz, 1:6 (1989),  167–199  mathnet  mathscinet  zmath; Leningrad Math. J., 1:6 (1990), 1479–1513
25. A. V. Ivanov, “Hölder estimates for quesilinear doubly degenerate parabolic equations”, Zap. Nauchn. Sem. LOMI, 171 (1989),  70–105  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2320–2347 31
1988
26. A. V. Ivanov, “Classical solvability of the Dirichlet problem for nonlinear nonuniformly elliptic equations”, Trudy Mat. Inst. Steklov., 179 (1988),  54–79  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 179 (1989), 55–83
1987
27. A. V. Ivanov, “Holder estimates for second order quasilinear degenerate parabolic systems”, Zap. Nauchn. Sem. LOMI, 163 (1987),  49–65  mathnet  mathscinet  zmath
1986
28. A. V. Ivanov, “Hölder estimates for weak solutions of generate parabolic equations”, Zap. Nauchn. Sem. LOMI, 152 (1986),  21–44  mathnet  zmath 1
1985
29. A. V. Ivanov, “An estimate for the modulus of continuity of generalized solutions of certain singular parabolic equations”, Zap. Nauchn. Sem. LOMI, 147 (1985),  49–71  mathnet  mathscinet  zmath 1
1984
30. A. V. Ivanov, “Nonlinear nonuniformly elliptic second-order equations”, Zap. Nauchn. Sem. LOMI, 138 (1984),  35–64  mathnet  mathscinet  zmath
1983
31. A. V. Ivanov, “On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations”, Zap. Nauchn. Sem. LOMI, 127 (1983),  49–67  mathnet  mathscinet  zmath
1982
32. A. V. Ivanov, “Boundary value problems for quasilinear degenerate elliptic and parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 262:1 (1982),  15–19  mathnet  mathscinet  zmath
33. A. V. Ivanov, “Second-order quasilinear degenerate and nonuniformly elliptic and parabolic equations”, Trudy Mat. Inst. Steklov., 160 (1982),  3–285  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 160 (1984), 1–288 6
34. A. V. Ivanov, “Existence and uniqueness theorems for $A$-regular generalized solutions of the first boundary-value problem for $(A,\vec0)$-elliptic equations”, Zap. Nauchn. Sem. LOMI, 115 (1982),  83–96  mathnet  mathscinet  zmath; J. Soviet Math., 28:5 (1985), 674–683 1
1981
35. A. V. Ivanov, M. N. Rozhkova, “On Properties of the Statistical Estimate of the Entropy of a Random Vector with a Probability Density”, Probl. Peredachi Inf., 17:3 (1981),  34–43  mathnet  mathscinet  zmath; Problems Inform. Transmission, 17:3 (1981), 171–178
36. A. V. Ivanov, “$(A,\vec0)$-elliptic equations with a weak degeneracy”, Zap. Nauchn. Sem. LOMI, 112 (1981),  75–84  mathnet  mathscinet  zmath; J. Soviet Math., 25:2 (1984), 1023–1030
37. A. V. Ivanov, “$(A,\vec 0)$-parabolic equations with a weak degeneracy”, Zap. Nauchn. Sem. LOMI, 111 (1981),  52–62  mathnet  mathscinet  zmath; J. Soviet Math., 24:1 (1984), 30–37 1
38. A. V. Ivanov, “On the smoothness of weak solutions of the Dirichlet problem for quasilinear degenerating second order elliptic equations”, Zap. Nauchn. Sem. LOMI, 110 (1981),  30–52  mathnet  mathscinet  zmath; J. Soviet Math., 25:1 (1984), 815–832 1
1980
39. A. V. Ivanov, P. Z. Mkrtychyan, “Solvability of the first boundary value problem for some classes of second-order degenerate quasilinear elliptic equations”, Trudy Mat. Inst. Steklov., 147 (1980),  14–39  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 147 (1981), 11–35
40. A. V. Ivanov, “Two-sided and one-sided Liouville theorems for quasilinear elliptic non-divergent equations”, Zap. Nauchn. Sem. LOMI, 100 (1980),  59–80  mathnet  mathscinet  zmath; J. Soviet Math., 19:6 (1982), 1659–1675
41. A. V. Ivanov, “General boundary vable problem for quasilinear $(A,\vec b)$ elliptic equations”, Zap. Nauchn. Sem. LOMI, 96 (1980),  57–68  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 680–689 2
1979
42. A. V. Ivanov, “The first and second boundary value problems for $(A,\vec b)$-elliptic equations”, Zap. Nauchn. Sem. LOMI, 92 (1979),  171–181  mathnet  mathscinet  zmath
43. A. V. Ivanov, “The first boundary value problem for $(A,\vec b)$-elliptic equations”, Zap. Nauchn. Sem. LOMI, 84 (1979),  45–88  mathnet  mathscinet  zmath; J. Soviet Math., 21:3 (1983), 281–313 2
1977
44. A. V. Ivanov, “A priori estimates of the second derivatives of solutions to nonlinear second-order equations on the boundary of the domain”, Zap. Nauchn. Sem. LOMI, 69 (1977),  65–76  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 44–53 3
45. A. V. Ivanov, “Properties of solutions of linear and quasilinear second-order equations with measurable coefficients which are neither strictly nor uniformly parabolic”, Zap. Nauchn. Sem. LOMI, 69 (1977),  45–64  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 29–43 3
1976
46. A. V. Ivanov, “A priori estimates for solutions of nonlinear second-order elliptic equations”, Zap. Nauchn. Sem. LOMI, 59 (1976),  31–59  mathnet  mathscinet  zmath; J. Soviet Math., 10:2 (1978), 217–240 4
1975
47. A. V. Ivanov, “Theorems of Liouville type for the solutions of quasilinear elliptic systems”, Trudy Mat. Inst. Steklov., 127 (1975),  5–19  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 127 (1975), 3–21
48. A. V. Ivanov, “On a boundary-value problem for linear parabolic equations in divergence form with measurable coefficients”, Zap. Nauchn. Sem. LOMI, 52 (1975),  3–34  mathnet  mathscinet  zmath
1973
49. A. V. Ivanov, “On the question of admissible limit growth of the right-hand side of a quasilinear elliptic equation”, Trudy Mat. Inst. Steklov., 125 (1973),  88–94  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 125 (1973), 80–86
50. A. V. Ivanov, “The solvability of the Dirichlet problem for certain classes of second order elliptic systems”, Trudy Mat. Inst. Steklov., 125 (1973),  56–87  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 125 (1973), 49–79
51. A. V. Ivanov, “On the first initial-boundary value problem for quasilinear second order parabolic equations”, Zap. Nauchn. Sem. LOMI, 38 (1973),  10–32  mathnet  mathscinet  zmath
1972
52. A. V. Ivanov, “Quasilinear elliptic equations of generalized genus $g$”, Zap. Nauchn. Sem. LOMI, 30 (1972),  161–163  mathnet  mathscinet  zmath
53. A. V. Ivanov, “Local estimates of the first derivatives of the solutions of second order quasilinear elliptic equations, and their application to Liouville type theorems”, Zap. Nauchn. Sem. LOMI, 30 (1972),  40–50  mathnet  mathscinet  zmath
54. A. V. Ivanov, “On maximum growth of coefficients of quasilinear elliptic equations”, Zap. Nauchn. Sem. LOMI, 27 (1972),  73–90  mathnet  mathscinet  zmath
1971
55. A. V. Ivanov, “The smoothness of the generalized solutions of degenerate second order parabolic equations”, Trudy Mat. Inst. Steklov., 116 (1971),  55–70  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 116 (1971), 52–69
56. A. V. Ivanov, “The Dirichlet problem for second order quasilinear nonuniformly elliptic equations”, Trudy Mat. Inst. Steklov., 116 (1971),  34–54  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 116 (1971), 29–51
57. A. V. Ivanov, “On some second order elliptic systems”, Zap. Nauchn. Sem. LOMI, 21 (1971),  34–41  mathnet  mathscinet  zmath
58. A. V. Ivanov, “On the structure of quasilinear second order elliptic equations”, Zap. Nauchn. Sem. LOMI, 21 (1971),  5–33  mathnet  mathscinet  zmath
1970
59. A. V. Ivanov, “Local estimates of the maximum modulus of the first derivatives of the solutions of quasilinear nonuniformly elliptic and nonuniformly parabolic equations and of systems of general form”, Trudy Mat. Inst. Steklov., 110 (1970),  45–64  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 110 (1970), 48–71
60. A. V. Ivanov, “The problem of Dirichlet for quasilinear nonuniform second order equations”, Zap. Nauchn. Sem. LOMI, 19 (1970),  79–94  mathnet  mathscinet  zmath
1969
61. A. V. Ivanov, “A boundary value problem for degenerate second order parabolic equations”, Zap. Nauchn. Sem. LOMI, 14 (1969),  48–88  mathnet  mathscinet  zmath
62. A. V. Ivanov, “On interior estimates of the first derivatives of solutions of quasilinear non-uniformly elliptic and parabolic equations of general form”, Zap. Nauchn. Sem. LOMI, 14 (1969),  24–47  mathnet  mathscinet  zmath
1968
63. A. V. Ivanov, “Local estimates of maximum modulus for the first derivatives of solutions of nonuniform quasilinear equations of elliptic type and in divergent form”, Zap. Nauchn. Sem. LOMI, 7 (1968),  87–125  mathnet  mathscinet  zmath
1967
64. A. V. Ivanov, “The Harnack inequality for generalized solutions of quasilinear parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 173:4 (1967),  752–754  mathnet  mathscinet  zmath
65. A. V. Ivanov, “The Harnack inequality for generalized solutions of second order quasilinear parabolic equations”, Trudy Mat. Inst. Steklov., 102 (1967),  51–84  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 102 (1967), 55–94 1
66. A. V. Ivanov, “On a global existence theorem for the first boundary value problem for a quasili-near parabolic equation”, Zap. Nauchn. Sem. LOMI, 5 (1967),  6–36  mathnet  mathscinet  zmath
1966
67. A. V. Ivanov, O. A. Ladyzhenskaya, A. L. Treskunov, N. N. Ural'tseva, “Certain properties of generalized solutions of parabolic equations of the second order”, Dokl. Akad. Nauk SSSR, 168:1 (1966),  17–20  mathnet  mathscinet  zmath 1
68. A. V. Ivanov, O. A. Ladyzhenskaya, A. L. Treskunov, N. N. Ural'tseva, “Generalized solutions of parabolic equations of second order”, Trudy Mat. Inst. Steklov., 92 (1966),  57–92  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 92 (1966), 63–104 1
1965
69. A. V. Ivanov, “A priori estimates for solutions of linear second-order equations of elliptic and parabolic types”, Dokl. Akad. Nauk SSSR, 161:6 (1965),  1270–1273  mathnet  mathscinet  zmath
1964
70. A. V. Ivanov, “On a class of functions”, Trudy Mat. Inst. Steklov., 73 (1964),  159–171  mathnet  mathscinet  zmath
71. A. V. Ivanov, “Computational properties of regular difference equations”, Trudy Mat. Inst. Steklov., 70 (1964),  59–115  mathnet  mathscinet  zmath
1963
72. A. V. Ivanov, “On the stability of certain numerical algorithms inverting regular difference equations”, Dokl. Akad. Nauk SSSR, 148:1 (1963),  28–31  mathnet  mathscinet  zmath

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