Open AccessExistence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term
Author(s) -
Mohammad M. AlGharabli,
Mohamed Balegh,
Baowei Feng,
Zayd Hajjej,
Salim A. Messaoudi
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021038
Subject(s) - logarithm , viscoelasticity , term (time) , mathematics , nonlinear system , mathematical analysis , relaxation (psychology) , multiplier (economics) , regular polygon , convex function , type (biology) , physics , geometry , thermodynamics , psychology , social psychology , ecology , macroeconomics , quantum mechanics , biology , economics
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.