Homoclinic solutions of an infinite-dimensional Hamiltonian system
Bartsch, T; Ding, YH
AbstractWe 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.
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000176918100004
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Document Type期刊论文
Corresponding AuthorBartsch, T
Affiliation1.Univ Giessen, Math Inst, D-35392 Giessen, Germany
2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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