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

visiting faculty

Research output: Contribution to journal › Article › peer-review

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 → ∞.

Original language	English
Pages (from-to)	59-74
Number of pages	16
Journal	Communications on Pure and Applied Analysis
Volume	3
Issue number	1
DOIs	https://doi.org/10.3934/cpaa.2004.3.59
Publication status	Published - 03-2004

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.3934/cpaa.2004.3.59

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title = "Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations",

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 → ∞.",

keywords = "Decay estimate, Euler-Poisson-Darboux equation, Lower bounds, Optimality",

author = "Akisato Kubo",

year = "2004",

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doi = "10.3934/cpaa.2004.3.59",

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N2 - 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 → ∞.

AB - 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 → ∞.

KW - Decay estimate

KW - Euler-Poisson-Darboux equation

KW - Lower bounds

KW - Optimality

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M3 - Article

AN - SCOPUS:24944467789

SN - 1534-0392

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JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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