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

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Abstract

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.

Original languageEnglish
Pages (from-to)781-795
Number of pages15
JournalMathematical Methods in the Applied Sciences
Volume21
Issue number9
DOIs
Publication statusPublished - 01-01-1998

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Global Classical Solution
Singular Equation
Semilinear Equations
Exponential Decay
Hyperbolic Equations
Boundary value problems
Interior
Boundary Value Problem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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title = "On the existence of a global classical solution of the boundary value problem for □u-μu=aum=0 in the interior domain",
abstract = "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.",
author = "Akisato Kubo",
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