On the global attraction to solitary waves for the Klein–Gordon 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' ψ (x) e- i ω t. To cite this article: A.I. Komech, A.A. Komech, C. R. Acad. Sci. Paris, Ser. I 343 (2006). © 2006 Académie des sciences.

author list (cited authors)

  • Komech, A. I., & Komech, A. A.

citation count

  • 11

publication date

  • July 2006