Title : ( A viscoelastic wave equation with delay and variable exponents: existence and nonexistence )
Authors: Hazal Yuksekkaya , Erhan Piskin , Jorge Ferreira , Mohammad Shahrouzi ,
Full TextAbstract
This article deals with the existence and nonexistence of solutions for a viscoelastic wave equation with time delay and variable exponents on the damping and on source term. Firstly, we get the existence of weak solutions by combining the Banach contraction mapping principle and the Faedo–Galerkin method under suitable assumptions on the variable exponents m (·) and p (·). For nonincreasing positive function g, we obtain the nonexistence of solutions with negative initial energy in appropriate conditions.
Keywords
, Time delay, Existence, Nonexistence, Variable exponent, Viscoelastic wave equation.
@article{paperid:1104642,
author = {Hazal Yuksekkaya and Erhan Piskin and Jorge Ferreira and Shahrouzi, Mohammad},
title = {A viscoelastic wave equation with delay and variable exponents: existence and nonexistence},
journal = {Zeitschrift für angewandte Mathematik und Physik},
year = {2022},
volume = {73},
number = {4},
month = {June},
issn = {0044-2275},
keywords = {Time delay; Existence; Nonexistence; Variable exponent; Viscoelastic wave equation.},
}
%0 Journal Article
%T A viscoelastic wave equation with delay and variable exponents: existence and nonexistence
%A Hazal Yuksekkaya
%A Erhan Piskin
%A Jorge Ferreira
%A Shahrouzi, Mohammad
%J Zeitschrift für angewandte Mathematik und Physik
%@ 0044-2275
%D 2022
