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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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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