On the Cauchy problem for nonlinear parabolic equations with variable density

被引：0

作者：

Fabio Punzo

机构：

[1] Università di Roma “La Sapienza”,Dipartimento di Matematica “G. Castelnuovo”

来源：

Journal of Evolution Equations | 2009年 / 9卷

关键词：

Cauchy Problem; Parabolic Equation; Viscosity Solution; Elliptic Problem; Satisfying Condition;

D O I：

暂无

中图分类号：

学科分类号：

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∞(IRN × (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：18

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