Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains

被引：0

作者：

Wen, Guo Chun ^{[1
]}

Chen, Dechang ^{[2
]}

Cheng, Xiuzhen ^{[3
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Uniformed Serv Univ Hlth Sci, Bethesda, MD 20814 USA

[3] George Washington Univ, Washington, DC 20052 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 07期

基金：

中国国家自然科学基金;

关键词：

initial-oblique derivative problem; nonlinear parabolic systems; high dimensional domains;

D O I：

10.1016/j.cnsns.2006.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1272 / 1280

页数：9

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