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.Pubblicazioni consigliate
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