A viscoelastic wave equation with delay and variable exponents: existence and nonexistence
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Int Publ Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Time Delay, Existence, Nonexistence, Variable Exponent, Viscoelastic Wave Equation
Kaynak
Zeitschrift Fur Angewandte Mathematik Und Physik
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
73
Sayı
4
