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Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term.

Authors :
Al-Gharabli, Mohammad
Balegh, Mohamed
Feng, Baowei
Hajjej, Zayd
Messaoudi, Salim A.
Source :
Evolution Equations & Control Theory; Aug2022, Vol. 11 Issue 4, p1149-1173, 25p
Publication Year :
2022

Abstract

In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21632472
Volume :
11
Issue :
4
Database :
Complementary Index
Journal :
Evolution Equations & Control Theory
Publication Type :
Academic Journal
Accession number :
158757864
Full Text :
https://doi.org/10.3934/eect.2021038