On solutions of the wave equation with a sublinear dissipative term

Mitsuhiro Nakao

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The existence of periodic solution and a certain decay property for the nonlinear dissipative wave equation utt - Δu + σ(ut) = f in R × Ω (or R+ × Ω) with the boundary condition u|∂Ω = 0 are proved, where Ω is a bounded domain in Rn and σ(v) is a sublinear function, say, σ(v) = k0|v|-rv, k0 >0, 0<r<1.

Original languageEnglish
Pages (from-to)204-215
Number of pages12
JournalJournal of Differential Equations
Volume69
Issue number2
DOIs
Publication statusPublished - 1987 Sep 15
Externally publishedYes

ASJC Scopus subject areas

  • Analysis

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