Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3 - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2012

Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3

Résumé

We consider the energy critical focusing NLS in R^3 and prove, for any $\nu$ sufficiently small, the existence of radial finite energy solutions that as $t\to\infty$ behave as a sum of a dynamically rescaled ground state plus a radiation, the scaling law being of the form $t^{\nu}$.

Dates et versions

hal-00795651 , version 1 (28-02-2013)

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Cecilia Ortoleva, Galina Perelman. Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3. 2012. ⟨hal-00795651⟩
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