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

来源：

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

页码：644 / 658

页数：15

共 19 条

[11] COLOMBEAU JF, 1994, CR ACAD SCI I-MATH, V319, P1179
[12] COLOMBEAU JF, 1993, CR ACAD SCI I-MATH, V317, P851
[13] GENERALIZED AND CLASSICAL-SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS
HEIBIG, A
MOUSSAOUI, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (06) : 789 - 794
[14] MURIO D. A., 1993, MOLLIFICATION METHOD
[15] Regularized conservation laws and nonlinear geometric optics
Oberguggenberger, M
Wang, YG
[J]. MONATSHEFTE FUR MATHEMATIK, 1999, 127 (01): : 55 - 66
[16] Oberguggenberger M., 1992, Pitman Research Notes in Mathematics Series
[17] Richtmyer R. D., 1967, Difference Methods for Initial-Value Problems
[18] ROSINGER EE, 1982, PITMAN RES NOTES MAT, V77
[19] Van T.D., 1994, DIFFERENTIAL OPERATO