Asymptotic behavior of solutions for a semilinear dissipative wave equations

A. Kubo

doi:10.1016/S0362-546X(01)00375-3

Asymptotic behavior of solutions for a semilinear dissipative wave equations

A. Kubo

医療経営情報学科

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

抄録

We investigate asymptotic property of the solution to the boundary value problem (BV) for the semilinear Euler-Poisson-Darboux type equation as t tends to ∞. Applying this result to the boundary value problem of the semilinear wave equation with a nonlinear dissipation we show the optimality of the decay estimate. Also we discuss the optimality of the decay estimates and lower bounds of solutions the mixed problem corresponding to (BV).

本文言語	英語
ページ（範囲）	2527-2537
ページ数	11
ジャーナル	Nonlinear Analysis, Theory, Methods and Applications
巻	47
号	4
DOI	https://doi.org/10.1016/S0362-546X(01)00375-3
出版ステータス	出版済み - 08-2001

All Science Journal Classification (ASJC) codes

分析
応用数学

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10.1016/S0362-546X(01)00375-3

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abstract = "We investigate asymptotic property of the solution to the boundary value problem (BV) for the semilinear Euler-Poisson-Darboux type equation as t tends to ∞. Applying this result to the boundary value problem of the semilinear wave equation with a nonlinear dissipation we show the optimality of the decay estimate. Also we discuss the optimality of the decay estimates and lower bounds of solutions the mixed problem corresponding to (BV).",

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AB - We investigate asymptotic property of the solution to the boundary value problem (BV) for the semilinear Euler-Poisson-Darboux type equation as t tends to ∞. Applying this result to the boundary value problem of the semilinear wave equation with a nonlinear dissipation we show the optimality of the decay estimate. Also we discuss the optimality of the decay estimates and lower bounds of solutions the mixed problem corresponding to (BV).

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Asymptotic behavior of solutions for a semilinear dissipative wave equations

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