Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

Shuji Machihara, Makoto Nakamura, Kenji Nakanishi, Tohru Ozawa

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

We prove endpoint Strichartz estimates for the Klein-Gordon and wave equations in mixed norms on the polar coordinates in three spatial dimensions. As an application, global wellposedness of the nonlinear Dirac equation is shown for small data in the energy class with some regularity assumption for the angular variable.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalJournal of Functional Analysis
Volume219
Issue number1
DOIs
Publication statusPublished - 2005 Feb 1

Keywords

  • Endpoint Strichartz estimates
  • Klein-Gordon equation
  • Nonlinear Dirac equation

ASJC Scopus subject areas

  • Analysis

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