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.
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页码：429 / 447
页数：18
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