Existence and Qualitative Properties of Solution for a Class of Nonlinear Wave Equations with Delay Term and Variable-Exponents Nonlinearities

Existence and Qualitative Properties of Solution for a Class of Nonlinear Wave Equations with Delay Term and Variable-Exponents Nonlinearities

This article is devoted to a study of the question of existence (in time) of weak solutions and the derivation of qualitative properties of such solutions for the nonlinear viscoelastic wave equation with variable exponents and minor damping terms. By using the energy method combined with the Faedo–...

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Bibliographic Details
Main Authors: Mohamed Karek, Sadok Otmani, Keltoum Bouhali, Khaled Zennir, Hatim M. Elkhair, Eltegani I. Hassan, Alnadhief H. A. Alfedeel, Almonther Alarfaj
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Axioms
Subjects:
Viscoelastic wave equation
Faedo–Galerkin method
local solution
global solution
exponential decay
Lyapunov function
Online Access:https://www.mdpi.com/2075-1680/12/5/444

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https://www.mdpi.com/2075-1680/12/5/444

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