Finite charge solutions to cubic schrödinger equations with a nonlocal nonlinearity in one space dimension

Kei Nakamura, Tohru Ozawa

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study the Cauchy problem for cubic Schrödinger equations modelling ultra-short laser pulses propagating along the line. The global existence, blow-up, and scattering of solutions is described exclusively in the charge space L 2(R) without any approximating arguments.

Original languageEnglish
Pages (from-to)789-801
Number of pages13
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume33
Issue number2
DOIs
Publication statusPublished - 2013 Jan 1

Keywords

  • Blow-up
  • Nonlinear Schrödinger equations
  • Scattering.

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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