Nonlinear parabolic equations with regularized derivatives

被引:20
作者
Wang, YG [1 ]
Oberguggenberger, M
机构
[1] Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200240, Peoples R China
[2] Univ Innsbruck, Inst Math & Geometrie, A-6020 Innsbruck, Austria
基金
中国国家自然科学基金;
关键词
nonlinear parabolic equations; Cauchy problems; generalized solutions; regularization; numerical methods;
D O I
10.1006/jmaa.1999.6326
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:644 / 658
页数:15
相关论文
共 19 条
  • [1] Ashyralyev A., 1994, OPERATOR THEORY, V69
  • [2] GENERALIZED SOLUTIONS TO BURGERS-EQUATION
    BIAGIONI, HA
    OBERGUGGENBERGER, M
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 97 (02) : 263 - 287
  • [3] GENERALIZED SOLUTIONS TO THE KORTEWEG-DEVRIES AND THE REGULARIZED LONG-WAVE EQUATIONS
    BIAGIONI, HA
    OBERGUGGENBERGER, M
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (04) : 923 - 940
  • [4] BIAGIONI HA, 1990, LECT NOTES MATH, V1401
  • [5] On convergence to entropy solutions of a single conservation law
    Cockburn, B
    Gripenberg, G
    Londen, SO
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 128 (01) : 206 - 251
  • [6] Colombeau J.F., 1985, ELEMENTARY INTRO NEW
  • [7] Colombeau J.F., 1992, LECT NOTES MATH, V1532
  • [8] Colombeau J. F, 1984, NEW GEN FUNCTION MUL
  • [9] GENERALIZED SOLUTIONS TO CAUCHY-PROBLEMS
    COLOMBEAU, JF
    HEIBIG, A
    [J]. MONATSHEFTE FUR MATHEMATIK, 1994, 117 (1-2): : 33 - 49
  • [10] Generalized solutions to partial differential equations of evolution type
    Colombeau, JF
    Heibig, A
    Oberguggenberger, M
    [J]. ACTA APPLICANDAE MATHEMATICAE, 1996, 45 (02) : 115 - 142