On Global Attraction to Solitary Waves for the Klein-Gordon Equation Coupled to Nonlinear Oscillator

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dc.creatorKomech, Alexander
dc.creatorKomech, Andrew
dc.date2006-08-24
dc.date.accessioned2026-07-07T07:22:07Z
dc.date.available2026-07-07T07:22:07Z
dc.descriptionThe long-time asymptotics is analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated at a point. Our main result is that each finite energy solution converges as $t\to\pm\infty$ to the set of ``nonlinear eigenfunctions'' $ψ(x)e\sp{-iωt}$.
dc.description5 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0608605
dc.identifierhttp://arxiv.org/abs/math/0608605
dc.identifierComptes Rendus Mathematique Volume 343, Issue 2, 15 July 2006, Pages 111-114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115544
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subject37K; 35B41; 35L; 35Q; 81; 78
dc.titleOn Global Attraction to Solitary Waves for the Klein-Gordon Equation Coupled to Nonlinear Oscillator
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