Relaxation of Excited States in Nonlinear Schrödinger Equations

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dc.creatorTsai, Tai-Peng
dc.creatorYau, Horng-Tzer
dc.date2001-10-08
dc.date.accessioned2026-07-07T04:28:41Z
dc.date.available2026-07-07T04:28:41Z
dc.descriptionWe consider a nonlinear Schrödinger equation in $\R^3$ with a bounded local potential. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying some resonance condition. Suppose that the initial data is small and is near some nonlinear {\it excited} state. We give a sufficient condition on the initial data so that the solution to the nonlinear Schrödinger equation approaches to certain nonlinear {\it ground} state as the time tends to infinity.
dc.descriptionSubmitted on August 27, 2001
dc.identifierhttps://arxiv.org/abs/math-ph/0110009
dc.identifierhttp://arxiv.org/abs/math-ph/0110009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56879
dc.subjectMathematical Physics
dc.subject35Q40, 35Q55
dc.titleRelaxation of Excited States in Nonlinear Schrödinger Equations
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