On the existence of a global classical solution of the boundary value problem for □u-μu=aum=0 in the interior domain

Akisato Kubo

doi:10.1002/(SICI)1099-1476(199806)21:9<781::AID-MMA969>3.0.CO;2-6

On the existence of a global classical solution of the boundary value problem for □u-μu=au^m=0 in the interior domain

Akisato Kubo

Faculty of Medical Management and Information Science

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

Abstract

In this paper we consider the boundary value problem for a semilinear equation □u(t,x)-μu(t,x)+au^m(t,x)=0, μ>0, a∈R in the interior domain.We find a time global classical solution with exponential decay property by using singular hyperbolic equation.

Original language	English
Pages (from-to)	781-795
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	21
Issue number	9
DOIs	https://doi.org/10.1002/(SICI)1099-1476(199806)21:9<781::AID-MMA969>3.0.CO;2-6
Publication status	Published - 06-1998

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

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10.1002/(SICI)1099-1476(199806)21:9<781::AID-MMA969>3.0.CO;2-6

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author = "Akisato Kubo",

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AB - In this paper we consider the boundary value problem for a semilinear equation □u(t,x)-μu(t,x)+aum(t,x)=0, μ>0, a∈R in the interior domain.We find a time global classical solution with exponential decay property by using singular hyperbolic equation.

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On the existence of a global classical solution of the boundary value problem for □u-μu=au^m=0 in the interior domain

Abstract

All Science Journal Classification (ASJC) codes

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