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On asymptotic stability in energy space of ground states of NLS in 2D |
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| Authors: | Scipio Cuccagna Mirko Tarulli |
| Affiliation: | aDISMI, University of Modena and Reggio Emilia, Padiglione Morselli, Reggio Emilia, 42100, Italy;bDepartment of Mathematics, University of Pisa, Largo Bruno Pontecorvo 5, Pisa, 56127, Italy |
| Abstract: | We transpose work by K. Yajima and by T. Mizumachi to prove dispersive and smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger equation (NLS) in 2D. As an application we extend to dimension 2D a result on asymptotic stability of ground states of NLS proved in the literature for all dimensions different from 2. |
| Keywords: | Nonlinear Schrö dinger equation Asymptotic stability Ground states of NLS Wave operators Fourier integral operators Fermi Golden Rule (FGR) Strichartz estimates Smoothing estimates |
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