Extinction of solutions of parabolic equations with variable anisotropic nonlinearities

被引：0
|
作者：
S. Antontsev
S. Shmarev
机构：
[1] Universidade da Beira Interior,Departamento de Matemática
[2] Universidad Complutence,Departamento de Matemática Aplicada
[3] Universidad de Oviedo,Departaménto de Matemáticas
来源：
Proceedings of the Steklov Institute of Mathematics | 2008年 / 261卷
关键词：
Weak Solution; Parabolic Equation; STEKLOV Institute; Orlicz Space; Free Boundary Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions that generalize the evolutional p(x, t)-Laplacian. We study the property of extinction of solutions in finite time. In particular, we show that the extinction may take place even in the borderline case when the equation becomes linear as t → ∞.
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页码：11 / 21
页数：10
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