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H lder Continuity of Weak Solutions for Parabolic Equations with Nonstandard Growth Conditions 被引量：1

Hlder Continuity of Weak Solutions for Parabolic Equations with Nonstandard Growth Conditions
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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. 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.
作者 Meng XU Ya Zhe CHEN
机构地区 School of Mathematical Sciences Department of Applied Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期793-806,共14页 数学学报（英文版）
关键词 BOUNDEDNESS Hoelder continuity Parabolic equations Nonstandard growth conditions Boundedness, Hoelder continuity, Parabolic equations, Nonstandard growth conditions
分类号 O175.26 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2006年 第3期

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