A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions

Soichiro Katayama, Tohru Ozawa, Hideaki Sunagawa

研究成果: Article

14 引用 (Scopus)

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We consider the Cauchy problem for quadratic nonlinear Klein-Gordon systems in two space dimensions with masses satisfying the resonance relation. Under the null condition in the sense of J.-M. Delort, D. Fang, and R. Xue (J. Funct. Anal. 211 (2004), no. 2, 288-323), we show the global existence of asymptotically free solutions if the initial data are sufficiently small in some weighted Sobolev space. Our proof is based on an algebraic characterization of nonlinearities satisfying the null condition.

元の言語English
ページ(範囲)1285-1302
ページ数18
ジャーナルCommunications on Pure and Applied Mathematics
65
発行部数9
DOI
出版物ステータスPublished - 2012 9 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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