Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain

Nakao Hayashi

doi:10.1007/BF02567842

Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain

Nakao Hayashi

理学研究科・数学専攻

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

3 被引用数 (Scopus)

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We study the initial boundary value problem for the nonlinear wave equation: {Mathematical expression} where n=4,5, u₀, u₁ are real valued functions and ∈₀ is a sufficiently small positive constant. In this paper we shall show small solutions to (*) exist globally in time under the condition that the nonlinear term F:ℝ²→ℝ is quadratic with respect to ∂_t u and ∂_t² u.

本文言語	英語
ページ（範囲）	15-39
ページ数	25
ジャーナル	Manuscripta Mathematica
巻	81
号	1
DOI	https://doi.org/10.1007/BF02567842
出版ステータス	出版済み - 1993 12月

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10.1007/BF02567842

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Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain

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