Boundedness of the gradient for a doubly nonlinear parabolic equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:371

Article

Siljander, Juhana

关键词: Higher regularity;    Caccioppoli inequality;    Moser's iteration;    Reverse Holder inequality;   

DOI  :  10.1016/j.jmaa.2010.05.008

来源: Elsevier

【 摘 要 】

We prove the local boundedness of the gradient for positive solutions to a doubly nonlinear. parabolic equation in the case when the standard Lebesgue measure has been replaced by a doubling Measure which supports a weak Poincare inequality. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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