Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator

@article{Komech2007GlobalWF,
  title={Global well-posedness for the Schr{\"o}dinger equation coupled to a nonlinear oscillator},
  author={Alexander Komech and Andrew Komech},
  journal={Russian Journal of Mathematical Physics},
  year={2007},
  volume={14},
  pages={164-173}
}
  • A. Komech, A. Komech
  • Published 31 August 2006
  • Mathematics
  • Russian Journal of Mathematical Physics
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 H1. 

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