Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species

doi:10.1016/j.jde.2011.06.015

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	Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species
	Dancer, E. N.1; Wang, Kelei 1; Zhang, Zhitao2
	2011-11-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	251 期号:10 页码:2737-2769
摘要	We prove the uniform Holder continuity of solutions for two classes of singularly perturbed parabolic systems. These systems arise in Bose-Einstein condensates and in competing models in population dynamics. The proof relies upon the blow up technique and the monotonicity formulas by Almgren and Alt. Caffarelli, and Friedman. (C) 2011 Elsevier Inc. All rights reserved.
关键词	Singular perturbation Free boundary problem Regularity Liouville theorem
DOI	10.1016/j.jde.2011.06.015
语种	英语
资助项目	Australian Research Council ; NSFC[10831005] ; NSFC[10971046]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000294835800004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12063
专题	数学所
通讯作者	Wang, Kelei
作者单位	1.Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dancer, E. N.,Wang, Kelei,Zhang, Zhitao. Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,251(10):2737-2769.
APA	Dancer, E. N.,Wang, Kelei,&Zhang, Zhitao.(2011).Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species.JOURNAL OF DIFFERENTIAL EQUATIONS,251(10),2737-2769.
MLA	Dancer, E. N.,et al."Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species".JOURNAL OF DIFFERENTIAL EQUATIONS 251.10(2011):2737-2769.