Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D

Rémi Carles, Tohru Ozawa

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We consider a nonlinear Schrödinger 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.

本文言語English
ページ(範囲)897-917
ページ数21
ジャーナルCommunications in Partial Differential Equations
40
5
DOI
出版ステータスPublished - 2015 1 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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