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

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.

published proceedings

  • Comptes Rendus Mathematique

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

  • July 2006