MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

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

Alexander Komech and Andrew Komech


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, such as the 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 $H\sp 1$.

Aug 23, 2006
Aug 23, 2006
MSC Codes:
37K, 35L, 35Q
Schroedinger equation, nonlinear oscillator, global well-posedness

Related publications

2007 Repository Open Access
Alexander Komech and Andrew Comech

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

In: Russian journal of mathematical physics, 14 (2007) 2, pp. 164-173