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

abstract

  • The Schrödinger 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.

author list (cited authors)

  • Komech, A. I., & Komech, A. A.

citation count

  • 7

publication date

  • June 2007