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Kamynin, Vitaly Leonidovich
Statistics Math-Net.Ru
Total publications: 39
Scientific articles: 38
Presentations: 3

Number of views:
This page:2231
Abstract pages:14641
Full texts:4834
References:1575
Kamynin, Vitaly Leonidovich
Professor
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 30.03.1958
E-mail:
Keywords: Partial differential equations, G-convergence, Inverse problems.
UDC: 517.956, 517.946, 517.9, 519.642, 517.95
MSC: 45K05

Subject:

Partial differential equations, G-convergence, Inverse problems.
   
Main publications:
  1. V.L. Kamynin, S.N. Kruzhkov, “Skhodimost reshenii kvazilineinykh parabolicheskikh uravnenii so slabo skhodyaschimisya koeffitsientami”, DAN SSSR, 270:270 (1983), 533–536
  2. V.L. Kamynin, “Predelnyi perekhod v kvazilinei-nykh parabolicheskikh uravneniyakh so slabo skhodyaschimisya koeffitsienta-mi i asimptoticheskoe povedenie reshenii zadachi Koshi”, Matem. sbornik, 181:8 (1990), 1031–1047
  3. V.L. Kamynin, “Nelineinaya obrat-naya zadacha dlya pa-rabolicheskogo uravneniya vysoko-go poryadka”, ZhVM i MF, 38:10 (1998), 1676–1684
  4. V.L. Kamynin, “Ob obratnoi zadache opredeleniya pravoi chasti v parabolicheskom uravnenii s uslo-viem integralnogo pereopredeleniya”, Matem. zametki, 77:4 (2005), 522–534
  5. V.L. Kamynin, “Obratnaya zadacha opredeleniya ko-effitsienta pered mladshei proizvodnoi v parabolicheskom uravnenii na ploskosti”, Differents. uravneniya, 48:2 (2012), 207–216

https://www.mathnet.ru/eng/person8504
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/191464
https://orcid.org/0000-0002-3684-7436

Publications in Math-Net.Ru Citations
2024
1. V. L. Kamynin, “Inverse problem of determining the absorption coefficient in a multidimensional nonuniform parabolic equation”, Mat. Zametki, 116:5 (2024),  714–727  mathnet
2022
2. V. L. Kamynin, “On the inverse problem of determining the lowest coefficient depending on the space variable in a parabolic equation with weak degeneracy”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206 (2022),  68–81  mathnet
3. V. L. Kamynin, “The Inverse Problem of Recovering the Source Function in a Multidimensional Nonuniformly Parabolic Equation”, Mat. Zametki, 112:3 (2022),  398–411  mathnet  mathscinet; Math. Notes, 112:3 (2022), 412–423  scopus 2
2021
4. V. L. Kamynin, “Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class $L_\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021),  413–427  mathnet  elib; Comput. Math. Math. Phys., 61:3 (2021), 388–402  isi  scopus 3
2020
5. V. L. Kamynin, “The Inverse Problem of Simultaneous Determination of the Two Time-Dependent Lower Coefficients in a Nondivergent Parabolic Equation in the Plane”, Mat. Zametki, 107:1 (2020),  74–86  mathnet  mathscinet  elib; Math. Notes, 107:1 (2020), 93–104  isi  scopus 9
2019
6. V. L. Kamynin, “The Inverse Problem of Simultaneous Determination of the Two Lower Space-Dependent Coefficients in a Parabolic Equation”, Mat. Zametki, 106:2 (2019),  248–261  mathnet  mathscinet  elib; Math. Notes, 106:2 (2019), 235–247  isi  scopus 10
2018
7. V. L. Kamynin, “On inverse problems for strongly degenerate parabolic equations under the integral observation condition”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  2075–2094  mathnet  elib; Comput. Math. Math. Phys., 58:12 (2018), 2002–2017  isi  scopus 7
2017
8. V. L. Kamynin, “On the Stabilization to Zero of the Solutions of the Inverse Problem for a Degenerate Parabolic Equation with Two Independent Variables”, Mat. Zametki, 101:6 (2017),  860–870  mathnet  mathscinet  elib; Math. Notes, 101:6 (2017), 974–983  isi  scopus 2
9. V. L. Kamynin, “Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  832–841  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:5 (2017), 833–842  isi  scopus 18
2015
10. V. L. Kamynin, “On the Solvability of the Inverse Problem for Determining the Right-Hand Side of a Degenerate Parabolic Equation with Integral Observation”, Mat. Zametki, 98:5 (2015),  710–724  mathnet  mathscinet  elib; Math. Notes, 98:5 (2015), 765–777  isi  scopus 22
11. V. L. Kamynin, “The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficient in Parabolic Equations with Many Space Variables”, Mat. Zametki, 97:3 (2015),  368–381  mathnet  mathscinet  zmath  elib; Math. Notes, 97:3 (2015), 349–361  isi  scopus 18
12. T. I. Bukharova, V. L. Kamynin, “Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015),  1183–1195  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:7 (2015), 1164–1176  isi  elib  scopus 6
2013
13. V. L. Kamynin, “The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation”, Mat. Zametki, 94:2 (2013),  207–217  mathnet  mathscinet  zmath  elib; Math. Notes, 94:2 (2013), 205–213  isi  elib  scopus 40
2008
14. V. L. Kamynin, “On the Inverse Problem of Determining the Leading Coefficient in Parabolic Equations”, Mat. Zametki, 84:1 (2008),  48–58  mathnet  mathscinet; Math. Notes, 84:1 (2008), 45–54  isi  scopus 9
2005
15. V. L. Kamynin, “On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition”, Mat. Zametki, 77:4 (2005),  522–534  mathnet  mathscinet  zmath  elib; Math. Notes, 77:4 (2005), 482–493  isi  scopus 44
2003
16. V. L. Kamynin, “On the Unique Solvability of an Inverse Problem for Parabolic Equations under a Final Overdetermination Condition”, Mat. Zametki, 73:2 (2003),  217–227  mathnet  mathscinet  zmath; Math. Notes, 73:2 (2003), 202–211  isi 33
2001
17. F. Benilan, V. L. Kamynin, “A priori estimates and asymptotic behavior of the solutions of semilinear integrodifferential parabolic equations on a plane”, Matem. Mod., 13:12 (2001),  10–22  mathnet  mathscinet  zmath
2000
18. V. L. Kamynin, “Passage to the limit in quasilinear integro-differential equations with weakly convergent coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 40:3 (2000),  428–439  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:3 (2000), 408–418
1998
19. V. L. Kamynin, É. Franchini, “An inverse problem for a higher-order parabolic equation”, Mat. Zametki, 64:5 (1998),  680–691  mathnet  mathscinet  zmath  elib; Math. Notes, 64:5 (1998), 590–599  isi 13
20. V. L. Kamynin, M. Saroldi, “Nonlinear inverse problem for a higher-order parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:10 (1998),  1683–1691  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:10 (1998), 1615–1623 6
1997
21. I. A. Vasin, V. L. Kamynin, “Asymptotic behaviour of the solutions of inverse problems for parabolic equations with irregular coefficients”, Mat. Sb., 188:3 (1997),  49–64  mathnet  mathscinet  zmath; Sb. Math., 188:3 (1997), 371–387  isi  scopus 10
22. I. A. Vasin, V. L. Kamynin, “On the asymptotic behavior of solutions of inverse problems for parabolic equations”, Sibirsk. Mat. Zh., 38:4 (1997),  750–766  mathnet  mathscinet  zmath; Siberian Math. J., 38:4 (1997), 647–662  isi 27
23. V. L. Kamynin, “The asymptotic behavior of solutions to linearized Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  958–967  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:8 (1997), 926–935
1996
24. V. L. Kamynin, “On the passage to the limit in inverse problems for parabolic equations with the integral overdetermination condition”, Differ. Uravn., 32:5 (1996),  620–626  mathnet  mathscinet; Differ. Equ., 32:5 (1996), 624–630
1994
25. V. L. Kamynin, “Asymptotic behavior of solutions to quasilinear parabolic equations in a bounded domain”, Sibirsk. Mat. Zh., 35:2 (1994),  340–358  mathnet  mathscinet  zmath; Siberian Math. J., 35:2 (1994), 306–323  isi 4
1993
26. V. L. Kamynin, “An approach to the mathematical modelling of highly heterogeneous flows of a viscous incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 33:5 (1993),  726–742  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:5 (1993), 649–661  isi 1
1992
27. V. L. Kamynin, “Passage to the limit in an inverse problem for parabolic equations in nondivergence form with a condition of final overdetermination”, Differ. Uravn., 28:2 (1992),  247–253  mathnet  mathscinet; Differ. Equ., 28:2 (1992), 213–218 3
28. V. L. Kamynin, “On asymptotic behavior of a solution to the cauchy problem for quasilinear parabolic equations”, Sibirsk. Mat. Zh., 33:6 (1992),  54–65  mathnet  mathscinet  zmath; Siberian Math. J., 33:6 (1992), 987–998  isi
1991
29. V. L. Kamynin, “Asymptotic behavior of solutions of the Cauchy problem for parabolic equations of nondivergence type”, Dokl. Akad. Nauk SSSR, 316:4 (1991),  807–811  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 184–188
30. V. L. Kamynin, “Estimates of rate of convergence of solutions of parabolic equations with weakly convergent coefficients”, Mat. Zametki, 49:2 (1991),  64–73  mathnet  mathscinet  zmath; Math. Notes, 49:2 (1991), 158–164  isi 1
1990
31. V. L. Kamynin, “Limit passage in quasilinear parabolic equations with weakly converging coefficients, and the asymptotic behavior of solutions of the Cauchy problem”, Mat. Sb., 181:8 (1990),  1031–1047  mathnet  mathscinet  zmath; Math. USSR-Sb., 70:2 (1991), 467–484  isi 6
1988
32. V. L. Kamynin, “Estimation of the rate of convergence of the solutions of some quasilinear parabolic equations with weakly converging coefficients”, Sibirsk. Mat. Zh., 29:5 (1988),  118–130  mathnet  mathscinet  zmath; Siberian Math. J., 29:5 (1988), 782–791  isi 1
1987
33. V. L. Kamynin, “An estimate of the rate of convergence of solutions of parabolic equations with weakly convergent right-hand side”, Mat. Zametki, 41:4 (1987),  525–534  mathnet  mathscinet  zmath; Math. Notes, 41:4 (1987), 295–300  isi
34. V. L. Kamynin, “On passage to the limit in quasilinear elliptic equations with several independent variables”, Mat. Sb. (N.S.), 132(174):1 (1987),  45–63  mathnet  mathscinet  zmath; Math. USSR-Sb., 60:1 (1988), 47–66 7
1985
35. V. L. Kamynin, “Passage to the limit in boundary-value problems for a class of quasilinear parabolic equations”, Mat. Zametki, 38:4 (1985),  554–565  mathnet  mathscinet  zmath; Math. Notes, 38:4 (1985), 814–820  isi
36. S. N. Kruzhkov, V. L. Kamynin, “Passage to the limit in quasilinear parabolic equations”, Trudy Mat. Inst. Steklov., 167 (1985),  183–206  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 167 (1986), 205–232 7
1983
37. S. N. Kruzhkov, V. L. Kamynin, “Convergence of the solutions of quasilinear parabolic equations with weakly converging coefficients”, Dokl. Akad. Nauk SSSR, 270:3 (1983),  533–536  mathnet  mathscinet  zmath 6
38. V. L. Kamynin, “A priori estimates for solutions of quasilinear parabolic equations in the plane and their applications”, Differ. Uravn., 19:5 (1983),  818–828  mathnet  mathscinet
1998
39. N. S. Bakhvalov, M. I. Zelikin, A. S. Kalashnikov, V. L. Kamynin, O. A. Oleinik, E. Yu. Panov, N. S. Petrosyan, V. M. Tikhomirov, A. V. Faminskii, V. N. Chubarikov, “Stanislav Nikolaevich Kruzhkov (obituary)”, Uspekhi Mat. Nauk, 53:5(323) (1998),  213–220  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:5 (1998), 1071–1078  isi

Presentations in Math-Net.Ru
1. INVERSE PROBLEMS FOR DEGENERATE PARABOLIC EQUATIONS WITH INTEGRAL OBSERVATION CONDITIONS
V. L. Kamynin
Seminar on nonlinear problems of partial differential equations and mathematical physics
May 21, 2024 18:30   
2. Об обратных задачах для вырождающихся параболических уравнений со многими независимыми переменными
V. L. Kamynin
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 16, 2023 16:30   
3. Об обратной задаче определения правой части в неравномерно параболическом уравнении
V. L. Kamynin
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 17:30

Organisations
 
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