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

被引：50

作者：

Dancer, E. N. ^{[1
]}

Wang, Kelei ^{[1
]}

Zhang, Zhitao ^{[2
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 10期

基金：

澳大利亚研究理事会;

关键词：

Singular perturbation; Free boundary problem; Regularity; Liouville theorem; UNIQUE CONTINUATION; SPATIAL SEGREGATION; EQUATIONS;

D O I：

10.1016/j.jde.2011.06.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：2737 / 2769

页数：33

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