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

Faculty of Medical Management and Information Science

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

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).

Original language	English
Pages (from-to)	2527-2537
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	4
DOIs	https://doi.org/10.1016/S0362-546X(01)00375-3
Publication status	Published - 08-2001

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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

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title = "Asymptotic behavior of solutions for a semilinear dissipative wave equations",

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).",

author = "A. Kubo",

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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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U2 - 10.1016/S0362-546X(01)00375-3

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M3 - Article

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 4

ER -

Asymptotic behavior of solutions for a semilinear dissipative wave equations

Abstract

All Science Journal Classification (ASJC) codes

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