Holder continuity of weak solutions for parabolic equations with nonstandard growth conditions

被引：30

作者：

Xu, Meng ^{[1
]}

Chen, Ya Zhe

机构：

[1] Peking Univ, Sch Mat Sci, Beijing 100871, Peoples R China

[2] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 03期

关键词：

boundedness; Holder continuity; parabolic equations; nonstandard growth conditions;

D O I：

10.1007/s10114-005-0582-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the interior regularity including the local boundedness and the interior Holder 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.

引用

页码：793 / 806

页数：14

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