ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A DOUBLY DEGENERATE PARABOLIC NON-DIVERGENCE FORM EQUATION

被引：0

作者：

Jin, Chunhua ^{[1
]}

Yin, Jingxue ^{[1
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 02期

关键词：

Asymptotic behavior; non-divergence form equation; periodic source; ELLIPTIC-EQUATIONS; DIFFUSION EQUATION; P-LAPLACIAN; MAXIMUM;

D O I：

10.1216/RMJ-2017-47-2-479

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the asymptotic behavior of a doubly degenerate parabolic equation in non-divergence form. The proofs are divided into three cases according to exponent values of the source, and, by using different methods, we prove the stability of the steady states. We also expand the discussion of asymptotic stability for equations with the periodic source.

引用

页码：479 / 510

页数：32

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