Exponential decay bounds for nonlinear heat problems with Robin boundary conditions

被引：0

作者：

Monica Marras

Stella Vernier Piro

机构：

[1] Università di Cagliari,Dipartimento di Matematica e Informatica

来源：

Zeitschrift für angewandte Mathematik und Physik | 2008年 / 59卷

关键词：

35K60; 35B40; 35B50; Nonlinear parabolic equation; decay bounds; maximum principles;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the behavior of the solution of a nonlinear heat problem, when Robin conditions are prescribed on the boundary ∂Ω × (t > 0), Ω a bounded R2 domain. We determine conditions on the geometry and data sufficient to preclude the blow up of the solution and to obtain an exponential decay bound for the solution and its gradient.

引用

页码：766 / 779

页数：13

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