Blow-up of h1 solutions for the one-dimensional nonlinear schrodinger equation with critical power nonlinearity

Ogawa Takayoshi, Tsutsumi Yoshio

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

We investigate the blow-up of solutions in H1(R) with negative energy for the one-dimensional nonlinear Schrodinger equation with critical power nonlinearity: In our result we remove the weight condition xu0L2(R), whichwas always assumed to show the blow-up of solutions in the previous papers.

Original languageEnglish
Pages (from-to)487-496
Number of pages10
JournalProceedings of the American Mathematical Society
Volume111
Issue number2
DOIs
Publication statusPublished - 1991 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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