Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species
文献类型：期刊论文
| 作者 | Dancer, E. N.1; Wang, Kelei1; Zhang, Zhitao2
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2011-11-15 |
| 卷号 | 251期号:10页码:2737-2769 |
| 关键词 | Singular perturbation Free boundary problem Regularity Liouville theorem |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2011.06.015 |
| 英文摘要 | 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. |
| 资助项目 | Australian Research Council ; NSFC[10831005] ; NSFC[10971046] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000294835800004 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12062]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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