Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent

被引：0

作者：

Alkhutov Y.A. ^{[1
]}

Zhikov V.V. ^{[1
]}

机构：

[1] Vladimir State University for the Humanities, Vladimir

来源：

Journal of Mathematical Sciences | 2011年 / 179卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

Parabolic Equation; Integral Identity; Integral Inequality; Integral Estimate; Regularization Operator;

D O I：

10.1007/s10958-011-0599-9

中图分类号：

学科分类号：

摘要：

In this paper, we prove the Hölder continuity of solutions of parabolic equations containing the p(x, t)-Laplacian. The degree p must satisfy the so-called logarithmic condition. © 2011 Springer Science+Business Media, Inc.

引用

页码：347 / 389

页数：42

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