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Kruzhkov Stanislav Nikolaevich

Publications in Math-Net.Ru

  1. First-order quasilinear equations with continuous nonlinearities

    Dokl. Akad. Nauk, 339:2 (1994),  151–154
  2. Theory of functions, and differential equations

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 5,  36–43
  3. First-order conservative quasilinear laws with an infinite domain of dependence on the initial data

    Dokl. Akad. Nauk SSSR, 314:1 (1990),  79–84
  4. 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
  5. Some unsolved problems in the theory of differential equations and mathematical physics

    Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202
  6. Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations

    Uspekhi Mat. Nauk, 42:5(257) (1987),  3–40
  7. On embedding theory for anisotropic function spaces

    Dokl. Akad. Nauk SSSR, 285:5 (1985),  1054–1057
  8. Passage to the limit in quasilinear parabolic equations

    Trudy Mat. Inst. Steklov., 167 (1985),  183–206
  9. 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
  10. Convergence of the solutions of quasilinear parabolic equations with weakly converging coefficients

    Dokl. Akad. Nauk SSSR, 270:3 (1983),  533–536
  11. On the theory of embedding of anisotropic Sobolev spaces

    Uspekhi Mat. Nauk, 38:2(230) (1983),  207–208
  12. Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation

    Mat. Sb. (N.S.), 120(162):3 (1983),  396–425
  13. Continuity properties of solutions of some classes of nonstationary equations

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3,  29–36
  14. Asymptotics of solutions of the Cauchy problem for first-order quasilinear equations

    Dokl. Akad. Nauk SSSR, 265:4 (1982),  801–804
  15. Generalized solutions of the Korteweg–de Vries equation

    Dokl. Akad. Nauk SSSR, 261:6 (1981),  1296–1298
  16. On anisotropic estimates of Schauder type for solutions of elliptic equations

    Dokl. Akad. Nauk SSSR, 254:4 (1980),  788–791
  17. 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
  18. A priori estimates and Harnack's inequality for generalized solutions of degenerate quasilinear parabolic equations

    Sibirsk. Mat. Zh., 18:3 (1977),  608–628
  19. The Cauchy–Dirichlet problem for Hamilton-Jacobi equations of eikonal type

    Dokl. Akad. Nauk SSSR, 224:5 (1975),  1012–1015
  20. 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
  21. 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
  22. 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
  23. 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
  24. Periodic solutions of nonlinear second order parabolic equations

    Differ. Uravn., 6:4 (1970),  731–740
  25. First order quasilinear equations in several independent variables

    Mat. Sb. (N.S.), 81(123):2 (1970),  228–255
  26. Linear and nonlinear parabolic systems on the plane

    Dokl. Akad. Nauk SSSR, 187:3 (1969),  510–513
  27. Generalized solutions of the Cauchy problem in the large for first order nonlinear equations

    Dokl. Akad. Nauk SSSR, 187:1 (1969),  29–32
  28. On the minimax representation of solutions of first order nonlinear equations

    Funktsional. Anal. i Prilozhen., 3:2 (1969),  57–66
  29. The Cauchy problem for some classes of quasi-linear parabolic equations

    Mat. Zametki, 6:3 (1969),  295–300
  30. Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications

    Mat. Zametki, 6:1 (1969),  97–108
  31. First order nonlinear equations and the differential games connected with them

    Uspekhi Mat. Nauk, 24:2(146) (1969),  227–228
  32. A class of problems with an unknown boundary for the heat conduction equation

    Dokl. Akad. Nauk SSSR, 178:5 (1968),  1036–1038
  33. Boundary value problems for degenerate second order elliptic equations

    Mat. Sb. (N.S.), 77(119):3 (1968),  299–334
  34. Nonlinear parabolic equations with two independent variable

    Tr. Mosk. Mat. Obs., 16 (1967),  329–346
  35. Estimates of the highest derivatives for the solutions of elliptic and parabolic equations with continuous coefficients

    Mat. Zametki, 2:5 (1967),  549–560
  36. Generalized solutions of nonlinear first order equations with several independent variables. II

    Mat. Sb. (N.S.), 72(114):1 (1967),  108–134
  37. 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
  38. On solutions of first order nonlinear equations

    Dokl. Akad. Nauk SSSR, 167:2 (1966),  286–289
  39. Generalized solutions of nonlinear equations of the first order with several variables. I

    Mat. Sb. (N.S.), 70(112):3 (1966),  394–415
  40. 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
  41. 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
  42. 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
  43. A priori bounds and some properties of solutions of elliptic and parabolic equations

    Mat. Sb. (N.S.), 65(107):4 (1964),  522–570
  44. A priori bounds for generalized solutions of second-order elliptic and parabolic equations

    Dokl. Akad. Nauk SSSR, 150:4 (1963),  748–751
  45. Some properties of solutions of elliptic equations

    Dokl. Akad. Nauk SSSR, 150:3 (1963),  470–473
  46. A priori bounds and some properties for solutions of elliptic and parabolic equations

    Uspekhi Mat. Nauk, 18:4(112) (1963),  215–216
  47. 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
  48. Quasi-linear second-order parabolic equations with many independent variables

    Uspekhi Mat. Nauk, 16:5(101) (1961),  115–155
  49. The Cauchy problem in the large for certain non-linear first order differential equations

    Dokl. Akad. Nauk SSSR, 132:1 (1960),  36–39

  50. To the 175th anniversary of P. L. Chebyshev's birth

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  3–4
  51. To the 100th anniversary from the death of Pafnutiy Lvovich Chebyshev

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  3–10
  52. On the 170th anniversary of the birth of P. L. Chebyshev

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 5,  2–4
  53. Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics

    Uspekhi Mat. Nauk, 40:5(245) (1985),  295–307

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