Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations

Kazumasa Fujiwara, Shuji Machihara, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The local well-posedness for the Cauchy problem of a system of semirelativistic equations in one space dimension is shown in the Sobolev space Hs of order s ≥ 0. We apply the standard contraction mapping theorem by using Bourgain type spaces Xs,b. We also use an auxiliary space for the solution in L2 = H0. We give the global well-posedness by this conservation law and the argument of the persistence of regularity.

Original languageEnglish
Pages (from-to)367-391
Number of pages25
JournalCommunications in Mathematical Physics
Volume338
Issue number1
DOIs
Publication statusPublished - 2015 Aug 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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