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：
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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.
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页码：15 / 26
页数：11
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