THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

doi:10.1016/S0252-9602(06)60047-7

数学物理学报(英文版)

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

招燕燕; 陈祖墀

中国科技大学数学系, 合肥 230026

收稿日期:2003-11-17 修回日期:2004-05-24 出版日期:2006-04-20 发布日期:2006-04-20
通讯作者: 招燕燕
基金资助:
The project is supported by NNSF of China (10371116)

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

Zhao Yanyan; Chen Zuchi

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2003-11-17 Revised:2004-05-24 Online:2006-04-20 Published:2006-04-20

摘要/Abstract

摘要：

This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic
Sobolev spaces an existence result is proved.

关键词: Weak solution, strongly degenerate, quasilinear parabolic equation

Abstract:

Key words: Weak solution, strongly degenerate, quasilinear parabolic equation

中图分类号:

35K55

招燕燕; 陈祖墀. THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES[J]. 数学物理学报(英文版), 2006, 26(2): 255-264.

Zhao Yanyan; Chen Zuchi. THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES[J]. Acta mathematica scientia,Series B, 2006, 26(2): 255-264.

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THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

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