# 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} }

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.

## 12 Citations

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