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

Jun Kato, Tohru Ozawa

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)48-71
ページ数24
ジャーナルJournal des Mathematiques Pures et Appliquees
95
1
DOI
出版ステータスPublished - 2011 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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