SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

doi:10.1016/S0252-9602(07)60058-7

数学物理学报(英文版)

SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

姚正安; 周文书

中山大学数学系, 广州 510275 吉林大学数学系, 长春 130012

收稿日期:2004-12-14 修回日期:1900-01-01 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 周文书
基金资助:
Supported by National Natural Science Foundation of China (10171113 and 10471156) and Natural Science Foundation of GuangDong 2004 (4009793).

SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

Yao Zheng'an; Zhou Wenshu

Department of Mathematics, Zhongshan University, Guangzhou 510275, China
Department of Mathematics, Jilin University, Changchun 130012, China

Received:2004-12-14 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
Contact: Zhou Wenshu

摘要/Abstract

摘要：

In this article, a degenerate and singular diffusion problem is studied. The
existence of solutions is established by parabolic regularization. Some properties of solutions, for instance, asymptotic behavior, are also discussed.

关键词: Degenerate and singular diffusion equation, weak solution, existence,
asymptotic behavior

Abstract:

Key words: Degenerate and singular diffusion equation, weak solution, existence,
asymptotic behavior

中图分类号:

35K10

姚正安; 周文书. SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION[J]. 数学物理学报(英文版), 2007, 27(3): 581-601.

Yao Zheng'an; Zhou Wenshu. SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION[J]. Acta mathematica scientia,Series B, 2007, 27(3): 581-601.

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SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

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