H lder Continuity of Weak Solutions for Parabolic Equations with Nonstandard Growth Conditions

作     者：Meng XU Ya Zhe CHEN 

作者机构：School of Mathematical SciencesPeking University Department of Applied MathematicsNanjing University of Science and Technology 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第3期

页      面：793-806页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Boundedness Hoelder continuity Parabolic equations Nonstandard growth conditions 

摘      要：In this paper, we investigate the interior regularity including the local boundedness and the interior HSlder continuity of weak solutions for parabolic equations of the p（x, t）-Laplacian type. We improve the Moser iteration technique and generalize the known results for the elliptic problem to the corresponding parabolic problem.