General decay of solutions to a viscoelastic wave equation with linear damping, nonlinear damping and source term. Issue 7 (18th May 2020)

• Record Type: Journal Article
• Authors: Li, Qian; He, Luofei
• Is Part Of: Applicable analysis. Volume 99:Issue 7(2020)
• Page Start: 1248
• Page End: 1259
• Publication Date: 2020-05-18
• Subjects: General decay -- viscoelastic wave equation -- source term; 35L05 -- 35L15 -- 35L70 -- 35B25; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2018.1529304
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: This paper is concerned with the decay property of a nonlinear viscoelastic wave equation with linear damping, nonlinear damping and source term. Under weaker assumption on the relaxation function, we establish a general decay result, which extends the result obtained in Messaoudi [Exponential decay of solutions of a nonlinearly damped wave equation. Nodea-Nonlinear Differ Equat Appl. 2005;12:391–399].