Existence theorems for solutions of parabolic equations with variable order of nonlinearity

被引：0

作者：

Yu. A. Alkhutov

V. V. Zhikov

机构：

[1] Vladimir State University for the Humanities,Geometry and Teaching Mathematics Methodology

[2] Vladimir State University for the Humanities,Mathematical Analysis

来源：

Proceedings of the Steklov Institute of Mathematics | 2010年 / 270卷

关键词：

Parabolic Equation; STEKLOV Institute; Existence Theorem; Variable Order; Maximal Monotone;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the solvability of an initial-boundary value problem for second-order parabolic equations with variable order of nonlinearity. In the model case, the equation contains the p-Laplacian with a variable exponent p(x, t). We prove that if the measurable exponent p is separated from unity and infinity, then the problem has W-and H-solutions.

引用

页码：15 / 26

页数：11

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