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	THE WELL-POSEDNESS OF RENORMALIZED SOLUTIONS FOR A NON-UNIFORMLY PARABOLIC EQUATION
	Zhang, Chao ; Zhou, Shulin
	2017
关键词	Renormalized solutions existence uniqueness parabolic EXISTENCE GROWTH UNIQUENESS ENTROPY
英文摘要	In this paper we present a unified approach to establish the existence of renormalized solutions and a comparison result for a class of non-uniformly parabolic initial-boundary value problems. As a consequence, the uniqueness of renormalized solutions and the equivalence between entropy and renormalized solutions for such equations are obtained. The results extend the well-posedness results for the classical p-Laplacian type equations to a larger class of non-linear elliptic and parabolic PDEs including the nearly linear growth operators.; NSFC [11671111, 11571020]; Natural Science Foundation of Heilongjiang Province [QC2014C002]; PIRS of HIT [B201502]; SCI(E); ARTICLE; 6; 2577-2589; 145
语种	英语
出处	SCI
出版者	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/473276]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, Chao,Zhou, Shulin. THE WELL-POSEDNESS OF RENORMALIZED SOLUTIONS FOR A NON-UNIFORMLY PARABOLIC EQUATION. 2017-01-01.

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