Energy decay for the wave equation with a nonlinear weak dissipation

Mitsuhiro Nakao, Yoshikazu Giga

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(ut), where p(v) is a function like. Since our dissipation is weak as |ut| tends to 1 we treat strong solutions rather than usual energy finite solutions.

Original languageEnglish
Pages (from-to)681-688
Number of pages8
JournalDifferential and Integral Equations
Volume8
Issue number3
Publication statusPublished - 1995
Externally publishedYes

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Energy Decay
Wave equations
Wave equation
Dissipation
Nonlinear Dissipation
Decay Estimates
Strong Solution
Energy
Initial-boundary-value Problem
Tend
Boundary value problems

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Energy decay for the wave equation with a nonlinear weak dissipation. / Nakao, Mitsuhiro; Giga, Yoshikazu.

In: Differential and Integral Equations, Vol. 8, No. 3, 1995, p. 681-688.

Research output: Contribution to journalArticle

Nakao, Mitsuhiro ; Giga, Yoshikazu. / Energy decay for the wave equation with a nonlinear weak dissipation. In: Differential and Integral Equations. 1995 ; Vol. 8, No. 3. pp. 681-688.
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