On the Cauchy problem for nonlinear parabolic equations with variable density

被引：20

作者：

Punzo, Fabio ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2009年 / 9卷 / 03期

关键词：

POROUS-MEDIUM EQUATION; FILTRATION EQUATION; UNIQUENESS; INFINITY; RN;

D O I：

10.1007/s00028-009-0018-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the well-posedness of the Cauchy problem for a class of nonlinear parabolic equations with variable density. Sufficient conditions for uniqueness or nonuniqueness in L(infinity)(IR(N) x (0, T)) (N >= 3) are established in dependence of the behavior of the density at infinity. We deal with conditions at infinity of Dirichlet type, and possibly inhomogeneous.

引用

页码：429 / 447

页数：19

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