Finite time extinction for nonlinear Schrodinger equation in 1D and 2D - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Partial Differential Equations Année : 2015

Finite time extinction for nonlinear Schrodinger equation in 1D and 2D

Tohru Ozawa
  • Fonction : Auteur
  • PersonId : 955907

Résumé

We consider a nonlinear Schrodinger equation with power nonlinearity, either on a compact manifold without boundary, or on the whole space in the presence of harmonic confinement, in space dimension one and two. Up to introducing an extra superlinear damping to prevent finite time blow up, we show that the presence of a sublinear damping always leads to finite time extinction of the solution in 1D, and that the same phenomenon is present in the case of small mass initial data in 2D.
Fichier principal
Vignette du fichier
damping.pdf (202.61 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00986957 , version 1 (05-05-2014)

Identifiants

Citer

Rémi Carles, Tohru Ozawa. Finite time extinction for nonlinear Schrodinger equation in 1D and 2D. Communications in Partial Differential Equations, 2015, 40 (5), pp.897-917. ⟨10.1080/03605302.2014.967356⟩. ⟨hal-00986957⟩
181 Consultations
148 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More