On mass concentration for the L2-critical nonlinear schrodinger equations

M. Chae, S. Hong, J. Kim, S. Lee, C. W. Yang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider the mass concentration phenomenon for the L2-critical nonlinear Schrödinger equations. We show the mass concentration of blow-up solutions contained in LqtLrx space near the finite time. The new ingredient in this paper is a refinement of Strichartz's estimates with the mixed norm LqtLrx for 2<q≤r.

Original languageEnglish
Pages (from-to)486-505
Number of pages20
JournalCommunications in Partial Differential Equations
Volume34
Issue number5
DOIs
Publication statusPublished - 2009 May

Keywords

  • Hartree equation
  • Mass concentration
  • Mixed norm blow-up
  • Schrödinger equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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