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

Soichiro Katayama; Tohru Ozawa; Hideaki Sunagawa

doi:10.1002/cpa.21392

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

Soichiro Katayama, Tohru Ozawa, Hideaki Sunagawa

先進理工学部

研究成果: Article › 査読

14 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1285-1302
ページ数	18
ジャーナル	Communications on Pure and Applied Mathematics
巻	65
号	9
DOI	https://doi.org/10.1002/cpa.21392
出版ステータス	Published - 2012 9 1

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1002/cpa.21392

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引用スタイル

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