Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications

Jun Kato, Tohru Ozawa

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We prove the endpoint Strichartz estimates for the Klein-Gordon equation in mixed norms on the polar coordinates in two space dimensions. As an application, similar endpoint estimates for the Schrödinger equation in two space dimensions are shown by using the non-relativistic limit. The existence of global solutions for the cubic nonlinear Klein-Gordon equation in two space dimensions for small data is also shown.

Original languageEnglish
Pages (from-to)48-71
Number of pages24
JournalJournal des Mathematiques Pures et Appliquees
Volume95
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1

Keywords

  • Angular regularity
  • Endpoint estimate
  • Klein-Gordon equation
  • Strichartz estimate

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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