Global well-posedness for the Schrdinger equation coupled to a nonlinear oscillator Academic Article uri icon

abstract

  • The Schrdinger equation with the nonlinearity concentrated at a single point proves to be an interesting and important model for the analysis of long-time behavior of solutions, including asymptotic stability of solitary waves and properties of weak global attractors. In this note, we prove global well-posedness of this system in the energy space H 1. Nauka/Interperiodica 2007.

published proceedings

  • Russian Journal of Mathematical Physics

author list (cited authors)

  • Komech, A. I., & Komech, A. A.

citation count

  • 8

complete list of authors

  • Komech, AI||Komech, AA

publication date

  • June 2007