Concentration phenomenon of semiclassical states to reaction-diffusion systems
文献类型：期刊论文
| 作者 | Gou, Tianxiang2; Zhang, Zhitao1,3,4 |
| 刊名 | ANNALI DI MATEMATICA PURA ED APPLICATA
 |
| 出版日期 | 2022-12-26 |
| 页码 | 39 |
| 关键词 | Concentration phenomenon Semiclassical states Reaction-diffusion system Variational methods |
| ISSN号 | 0373-3114 |
| DOI | 10.1007/s10231-022-01297-5 |
| 英文摘要 | In this paper, we consider concentration phenomenon of semiclassical states to the following 2M-component reaction-diffusion system in R x R-N, {& part;(t)u = epsilon(2)delta(x)u - u - V(x)v + & part;(v) H(u, v),& part;(t)v = -epsilon(2)delta(x)v + v + V(x)u - & part;(u) H(u, v), where M >= 1, N >= 1, epsilon > 0 is a small parameter, V is an element of C-1(R-N, R), H is an element of C-1(R-M x R-M, R) and (u, v) : R x R-N -> R-M x R-M. It is proved that there exist semiclassical states concentrating around the local minimum points of V under mild assumptions. The approach is variational, which is mainly based upon a new linking-type argument, iterative techniques and interior estimates for nonlinear parabolic equations. |
| 资助项目 | National Key R & D Program of China ; National Science Foundation of China[2022YFA1005600] ; Postdoctoral Science Foundation of China[12031015] ; Postdoctoral Science Foundation of China[12101483] ; [2021M702620] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000904006000001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60491]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gou, Tianxiang |
| 作者单位 | 1.Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China 2.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gou, Tianxiang,Zhang, Zhitao. Concentration phenomenon of semiclassical states to reaction-diffusion systems[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2022:39. |
| APA | Gou, Tianxiang,&Zhang, Zhitao.(2022).Concentration phenomenon of semiclassical states to reaction-diffusion systems.ANNALI DI MATEMATICA PURA ED APPLICATA,39. |
| MLA | Gou, Tianxiang,et al."Concentration phenomenon of semiclassical states to reaction-diffusion systems".ANNALI DI MATEMATICA PURA ED APPLICATA (2022):39. |
入库方式： OAI收割
来源：数学与系统科学研究院
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