On the global attraction to solitary waves for the KleinGordon equation coupled to a nonlinear oscillator Academic Article

abstract

• The long-time asymptotics are 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 the set of 'nonlinear eigenfunctions' (x) e- i t. To cite this article: A.I. Komech, A.A. Komech, C. R. Acad. Sci. Paris, Ser. I 343 (2006). 2006 Acadmie des sciences.

authors

• Comech, Andrew

published proceedings

• Comptes Rendus Mathmatique

author list (cited authors)

• Komech, A. I., & Komech, A. A.

citation count

• 14

complete list of authors

• Komech, Alexander I||Komech, Andrew A

publication date

• January 2006

publisher

• Elsevier  Publisher

published in

• Comptes Rendus Mathematique (Academie des Sciences)  Journal

Digital Object Identifier (DOI)

• 10.1016/j.crma.2006.06.009

start page

• 111

end page

• 114

volume

• 343

issue

• 2

URL

• http://dx.doi.org/10.1016/j.crma.2006.06.009