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Kruzhkov, Stanislav Nikolaevich

https://www.mathnet.ru/eng/person21837
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189858

Publications in Math-Net.Ru Citations
1994
1. F. Benilan, S. N. Kruzhkov, “First-order quasilinear equations with continuous nonlinearities”, Dokl. Akad. Nauk, 339:2 (1994),  151–154  mathnet  mathscinet  zmath; Dokl. Math., 50:3 (1995), 391–396 10
1991
2. S. N. Kruzhkov, “Theory of functions, and differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 5,  36–43  mathnet  mathscinet  zmath 1
1990
3. S. N. Kruzhkov, E. Yu. Panov, “First-order conservative quasilinear laws with an infinite domain of dependence on the initial data”, Dokl. Akad. Nauk SSSR, 314:1 (1990),  79–84  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 316–321 13
4. S. N. Kruzhkov, “Some examples of the nonuniqueness of the solution of the Cauchy problem for quasilinear hyperbolic systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 5,  80–84  mathnet  mathscinet  zmath 1
1989
5. V. I. Arnol'd, M. I. Vishik, Yu. S. Ilyashenko, A. S. Kalashnikov, V. A. Kondrat'ev, S. N. Kruzhkov, E. M. Landis, V. M. Millionshchikov, O. A. Oleinik, A. F. Filippov, M. A. Shubin, “Some unsolved problems in the theory of differential equations and mathematical physics”, Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:4 (1989), 157–171  isi 43
1987
6. S. N. Kruzhkov, N. S. Petrosyan, “Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations”, Uspekhi Mat. Nauk, 42:5(257) (1987),  3–40  mathnet  mathscinet  zmath; Russian Math. Surveys, 42:5 (1987), 1–47  isi 12
1985
7. S. N. Kruzhkov, A. G. Korolev, “On embedding theory for anisotropic function spaces”, Dokl. Akad. Nauk SSSR, 285:5 (1985),  1054–1057  mathnet  mathscinet  zmath 1
8. 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
9. S. N. Kruzhkov, “Uniqueness of the solutions of mixed problems for the degenerate system of the theory of two-phase porous flow”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 2,  28–33  mathnet  mathscinet  zmath 1
1983
10. 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
11. S. N. Kruzhkov, I. M. Kolodii, “On the theory of embedding of anisotropic Sobolev spaces”, Uspekhi Mat. Nauk, 38:2(230) (1983),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:2 (1983), 188–189  isi 32
12. S. N. Kruzhkov, A. V. Faminskii, “Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation”, Mat. Sb. (N.S.), 120(162):3 (1983),  396–425  mathnet  mathscinet  zmath; Math. USSR-Sb., 48:2 (1984), 391–421 92
13. S. N. Kruzhkov, A. V. Faminskii, “Continuity properties of solutions of some classes of nonstationary equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3,  29–36  mathnet  mathscinet  zmath 7
1982
14. S. N. Kruzhkov, N. S. Petrosyan, “Asymptotics of solutions of the Cauchy problem for first-order quasilinear equations”, Dokl. Akad. Nauk SSSR, 265:4 (1982),  801–804  mathnet  mathscinet  zmath 2
1981
15. S. N. Kruzhkov, A. V. Faminskii, “Generalized solutions of the Korteweg–de Vries equation”, Dokl. Akad. Nauk SSSR, 261:6 (1981),  1296–1298  mathnet  mathscinet  zmath 4
1980
16. S. N. Kruzhkov, M. Lopez, “On anisotropic estimates of Schauder type for solutions of elliptic equations”, Dokl. Akad. Nauk SSSR, 254:4 (1980),  788–791  mathnet  mathscinet  zmath 1
1977
17. S. N. Kruzhkov, S. M. Sukoryanskii, “Boundary value problems for systems of equations of two-phase porous flow type; statement of the problems, questions of solvability, justification of approximate methods”, Mat. Sb. (N.S.), 104(146):1(9) (1977),  69–88  mathnet  mathscinet  zmath; Math. USSR-Sb., 33:1 (1977), 62–80  isi 36
18. S. N. Kruzhkov, I. M. Kolodii, “A priori estimates and Harnack's inequality for generalized solutions of degenerate quasilinear parabolic equations”, Sibirsk. Mat. Zh., 18:3 (1977),  608–628  mathnet  mathscinet  zmath; Siberian Math. J., 18:3 (1977), 434–449  isi 3
1975
19. S. N. Kruzhkov, “The Cauchy–Dirichlet problem for Hamilton-Jacobi equations of eikonal type”, Dokl. Akad. Nauk SSSR, 224:5 (1975),  1012–1015  mathnet  mathscinet  zmath 1
20. S. N. Kruzhkov, A. Castro, M. Lopez, “Schauder-type estimates and existence theorems for the solution of basic problems for linear and nonlinear parabolic equations”, Dokl. Akad. Nauk SSSR, 220:2 (1975),  277–280  mathnet  mathscinet  zmath 2
21. S. N. Kruzhkov, P. A. Andreianov, “On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally summable functions”, Dokl. Akad. Nauk SSSR, 220:1 (1975),  23–26  mathnet  mathscinet  zmath 6
22. S. N. Kruzhkov, “Generalized solutions of the Hamilton–Jacobi equations of eikonal type. I. Formulation of the problems; existence, uniqueness and stability theorems; some properties of the solutions”, Mat. Sb. (N.S.), 98(140):3(11) (1975),  450–493  mathnet  mathscinet  zmath; Math. USSR-Sb., 27:3 (1975), 406–446 129
1972
23. S. N. Kruzhkov, I. M. Kolodii, “A priori estimates and a Harnack inequality for generalized solutions of degenerate quasi-linear second order parabolic equations”, Dokl. Akad. Nauk SSSR, 204:2 (1972),  283–284  mathnet  mathscinet  zmath 1
1970
24. S. N. Kruzhkov, “Periodic solutions of nonlinear second order parabolic equations”, Differ. Uravn., 6:4 (1970),  731–740  mathnet  mathscinet  zmath 1
25. S. N. Kruzhkov, “First order quasilinear equations in several independent variables”, Mat. Sb. (N.S.), 81(123):2 (1970),  228–255  mathnet  mathscinet  zmath; Math. USSR-Sb., 10:2 (1970), 217–243 1065
1969
26. S. N. Kruzhkov, “Linear and nonlinear parabolic systems on the plane”, Dokl. Akad. Nauk SSSR, 187:3 (1969),  510–513  mathnet  mathscinet  zmath 1
27. S. N. Kruzhkov, “Generalized solutions of the Cauchy problem in the large for first order nonlinear equations”, Dokl. Akad. Nauk SSSR, 187:1 (1969),  29–32  mathnet  mathscinet  zmath 21
28. S. N. Kruzhkov, “On the minimax representation of solutions of first order nonlinear equations”, Funktsional. Anal. i Prilozhen., 3:2 (1969),  57–66  mathnet  mathscinet  zmath; Funct. Anal. Appl., 3:2 (1969), 128–136 4
29. S. N. Kruzhkov, “The Cauchy problem for some classes of quasi-linear parabolic equations”, Mat. Zametki, 6:3 (1969),  295–300  mathnet  mathscinet  zmath; Math. Notes, 6:3 (1969), 634–637 3
30. S. N. Kruzhkov, “Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications”, Mat. Zametki, 6:1 (1969),  97–108  mathnet  mathscinet  zmath; Math. Notes, 6:1 (1969), 571–523 30
31. S. N. Kruzhkov, “First order nonlinear equations and the differential games connected with them”, Uspekhi Mat. Nauk, 24:2(146) (1969),  227–228  mathnet  mathscinet  zmath 6
1968
32. S. N. Kruzhkov, “A class of problems with an unknown boundary for the heat conduction equation”, Dokl. Akad. Nauk SSSR, 178:5 (1968),  1036–1038  mathnet  mathscinet  zmath 1
33. S. N. Kruzhkov, “Boundary value problems for degenerate second order elliptic equations”, Mat. Sb. (N.S.), 77(119):3 (1968),  299–334  mathnet  mathscinet  zmath; Math. USSR-Sb., 6:3 (1968), 275–307 8
1967
34. S. N. Kružkov, “Nonlinear parabolic equations with two independent variable”, Tr. Mosk. Mat. Obs., 16 (1967),  329–346  mathnet  mathscinet  zmath 13
35. S. N. Kruzhkov, “Estimates of the highest derivatives for the solutions of elliptic and parabolic equations with continuous coefficients”, Mat. Zametki, 2:5 (1967),  549–560  mathnet  mathscinet  zmath; Math. Notes, 2:5 (1967), 624–630 3
36. S. N. Kruzhkov, “Generalized solutions of nonlinear first order equations with several independent variables. II”, Mat. Sb. (N.S.), 72(114):1 (1967),  108–134  mathnet  mathscinet  zmath; Math. USSR-Sb., 1:1 (1967), 93–116 27
1966
37. S. N. Kruzhkov, “A priori estimate for the derivative of a solution of a parabolic equation and certain of its applications”, Dokl. Akad. Nauk SSSR, 170:3 (1966),  501–504  mathnet  mathscinet  zmath 2
38. S. N. Kruzhkov, “On solutions of first order nonlinear equations”, Dokl. Akad. Nauk SSSR, 167:2 (1966),  286–289  mathnet  mathscinet  zmath 2
39. S. N. Kruzhkov, “Generalized solutions of nonlinear equations of the first order with several variables. I”, Mat. Sb. (N.S.), 70(112):3 (1966),  394–415  mathnet  mathscinet  zmath 26
40. S. N. Kruzhkov, “The method of finite differences for a first-order non-linear equation with many independent variables”, Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966),  884–894  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:5 (1966), 136–151 4
1965
41. S. N. Kruzhkov, “Methods for constructing generalized solutions for the Cauchy problem for a quasilinear equation of the first order”, Uspekhi Mat. Nauk, 20:6(126) (1965),  112–118  mathnet  mathscinet  zmath 5
1964
42. S. N. Kruzhkov, “The Cauchy problem in the large for non-linear equations and for certain first-order quasilinear systems with several variables”, Dokl. Akad. Nauk SSSR, 155:4 (1964),  743–746  mathnet  mathscinet  zmath 3
43. S. N. Kruzhkov, “A priori bounds and some properties of solutions of elliptic and parabolic equations”, Mat. Sb. (N.S.), 65(107):4 (1964),  522–570  mathnet  mathscinet  zmath 4
1963
44. S. N. Kruzhkov, “A priori bounds for generalized solutions of second-order elliptic and parabolic equations”, Dokl. Akad. Nauk SSSR, 150:4 (1963),  748–751  mathnet  mathscinet  zmath 2
45. S. N. Kruzhkov, “Some properties of solutions of elliptic equations”, Dokl. Akad. Nauk SSSR, 150:3 (1963),  470–473  mathnet  mathscinet  zmath 1
46. S. N. Kruzhkov, “A priori bounds and some properties for solutions of elliptic and parabolic equations”, Uspekhi Mat. Nauk, 18:4(112) (1963),  215–216  mathnet
1961
47. S. N. Kruzhkov, “An a priori estimate of the solutions of linear parabolic equations and solutions of boundary-value problems for a certain class of quasi-linear parabolic equations”, Dokl. Akad. Nauk SSSR, 138:5 (1961),  1005–1008  mathnet  mathscinet  zmath
48. O. A. Oleinik, S. N. Kruzhkov, “Quasi-linear second-order parabolic equations with many independent variables”, Uspekhi Mat. Nauk, 16:5(101) (1961),  115–155  mathnet  mathscinet  zmath; Russian Math. Surveys, 16:5 (1961), 105–146 75
1960
49. S. N. Kruzhkov, “The Cauchy problem in the large for certain non-linear first order differential equations”, Dokl. Akad. Nauk SSSR, 132:1 (1960),  36–39  mathnet  mathscinet  zmath 4
1996
50. S. N. Kruzhkov, “To the 175th anniversary of P. L. Chebyshev's birth”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  3–4  mathnet  mathscinet 1
1995
51. S. N. Kruzhkov, “To the 100th anniversary from the death of Pafnutiy Lvovich Chebyshev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  3–10  mathnet  mathscinet  zmath 1
1991
52. S. N. Kruzhkov, “On the 170th anniversary of the birth of P. L. Chebyshev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 5,  2–4  mathnet  mathscinet  zmath 1
1985
53. V. Ya. Rivkind, S. P. Novikov, V. M. Petkov, V. P. Myasnikov, M. V. Fedoryuk, V. V. Kucherenko, A. A. Davydov, A. I. Neishtadt, S. N. Kruzhkov, S. A. Molchanov, A. A. Ruzmaikin, D. D. Sokolov, Yu. M. Sukhov, A. G. Shukhov, B. R. Vainberg, V. I. Bakhtin, A. G. Vainshtein, B. Z. Shapiro, V. A. Kondrat'ev, O. A. Oleinik, M. I. Vishik, S. B. Kuksin, A. G. Korolev, Yu. S. Ilyashenko, “Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics”, Uspekhi Mat. Nauk, 40:5(245) (1985),  295–307  mathnet 12

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