On a system of semirelativistic equations in the energy space

Kazumasa Fujiwara, Shuji Machihara, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Well-posedness of the Cauchy problem for a system of semirelativistic equations is shown in the energy space. Solutions are constructed as a limit of an approximate solutions. A Yudovitch type argument plays an important role for the convergence arguments.

Original languageEnglish
Pages (from-to)1343-1355
Number of pages13
JournalCommunications on Pure and Applied Analysis
Volume14
Issue number4
DOIs
Publication statusPublished - 2015 Jul 1

Keywords

  • Compactness argument
  • Quadratic nonlinearity
  • Semirelativistic equation
  • Well-posedness
  • Yudovitch argument

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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