Homoclinic solutions of an infinite-dimensional Hamiltonian system

doi:10.1007/s002090100383

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	Homoclinic solutions of an infinite-dimensional Hamiltonian system
	Bartsch, T ; Ding, YH
	2002-06-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	240 期号:2 页码:289-310
摘要	We consider the system [GRAPHICS] which is an unbounded Hamiltonian system in L-2 (R-N, R-2M). We assume that the constant function (u(o), v(0)) equivalent to (0, 0) is an element of R-2M is a stationary solution, and that H and V are periodic in the t and x variables. We present a variational formulation in order to obtain homoclinic solutions z = (U, V) satisfying z (t, x) --> 0 as \t\ + \x\ --> infinity. It is allowed that V changes sign and that -Delta + V has essential spectrum below (and above) 0. We also treat the case of a bounded domain Omega instead of R-N with Dirichlet boundary conditions.
DOI	10.1007/s002090100383
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000176918100004
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17244
专题	中国科学院数学与系统科学研究院
通讯作者	Bartsch, T
作者单位	1.Univ Giessen, Math Inst, D-35392 Giessen, Germany 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bartsch, T,Ding, YH. Homoclinic solutions of an infinite-dimensional Hamiltonian system[J]. MATHEMATISCHE ZEITSCHRIFT,2002,240(2):289-310.
APA	Bartsch, T,&Ding, YH.(2002).Homoclinic solutions of an infinite-dimensional Hamiltonian system.MATHEMATISCHE ZEITSCHRIFT,240(2),289-310.
MLA	Bartsch, T,et al."Homoclinic solutions of an infinite-dimensional Hamiltonian system".MATHEMATISCHE ZEITSCHRIFT 240.2(2002):289-310.