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.

On asymptotic stability in energy space of ground states of NLS in 2D / Cuccagna, Scipio; M., Tarulli. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 26:4(2009), pp. 1361-1386. [10.1016/j.anihpc.2008.12.001]

On asymptotic stability in energy space of ground states of NLS in 2D

CUCCAGNA, Scipio;
2009

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.
2009
26
4
1361
1386
On asymptotic stability in energy space of ground states of NLS in 2D / Cuccagna, Scipio; M., Tarulli. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 26:4(2009), pp. 1361-1386. [10.1016/j.anihpc.2008.12.001]
Cuccagna, Scipio; M., Tarulli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/614955
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