On the existence time of local solutions for critical semilinear Schrödinger equations in Sobolev spaces

Tsukasa Iwabuchi, Makoto Nakamura

Research output: Contribution to journalArticle

Abstract

The existence time of local solutions of semilinear Schrödinger equations in Sobolev spaces is considered based on the method of frequency decomposition. The semilinear terms are power type or exponential type, which are critical in terms of the scaling or the Trudinger–Moser inequality. The existence time is estimated by the low and high frequency parts of data.

Original languageEnglish
Pages (from-to)168-180
Number of pages13
JournalNonlinear Analysis: Real World Applications
Volume33
DOIs
Publication statusPublished - 2017 Feb 1

Keywords

  • Cauchy problem
  • Local solution
  • Semilinear Schrödinger equation

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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