4.7 Article

On asymptotic stability in energy space of ground states of NLS in 1D

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 245, Issue 3, Pages 653-691

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2008.02.042

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We transpose work by T. Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrodinger equation (NLS) in 1D. As an application we extend to dimension 1D a result on asymptotic stability of ground states of NILS proved by Cuccagna and Mizumachi for dimensions >= 3. (c) 2008 Elsevier Inc. All rights reserved.

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