Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations

Akisato Kubo

doi:10.3934/cpaa.2004.3.59

Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations

Akisato Kubo

客員教員

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

抄録

We discuss the optimality of the decay estimate of the mixed problem (MP) for semilinear hyperbolic equations of the type of the Euler-Poisson-Darboux equation. For this purpose we investigate decay properties and the lower bounds of the solutions to a boundary value problem related to (MP) as t → ∞.

本文言語	英語
ページ（範囲）	59-74
ページ数	16
ジャーナル	Communications on Pure and Applied Analysis
巻	3
号	1
DOI	https://doi.org/10.3934/cpaa.2004.3.59
出版ステータス	出版済み - 03-2004

All Science Journal Classification (ASJC) codes

分析
応用数学

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10.3934/cpaa.2004.3.59

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abstract = "We discuss the optimality of the decay estimate of the mixed problem (MP) for semilinear hyperbolic equations of the type of the Euler-Poisson-Darboux equation. For this purpose we investigate decay properties and the lower bounds of the solutions to a boundary value problem related to (MP) as t → ∞.",

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KW - Euler-Poisson-Darboux equation

KW - Lower bounds

KW - Optimality

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Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations

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