Concentration phenomenon of semiclassical states to reaction-diffusion systems

doi:10.1007/s10231-022-01297-5

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	Concentration phenomenon of semiclassical states to reaction-diffusion systems
	Gou, Tianxiang 1; Zhang, Zhitao 2,3,4
	2022-12-26
发表期刊	ANNALI DI MATEMATICA PURA ED APPLICATA
ISSN	0373-3114
页码	39
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.
关键词	Concentration phenomenon Semiclassical states Reaction-diffusion system Variational methods
DOI	10.1007/s10231-022-01297-5
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000904006000001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60492
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.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 2.Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, 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.