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Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay

Publish Year: 1400
Type: Journal paper
Language: English
View: 143

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Document National Code:

JR_CMDE-9-2_019

Index date: 4 February 2023

Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay abstract

In this work, we consider a logarithmic nonlinear viscoelastic wave equation with a delay term in a bounded domain. We obtain the local existence of the solution by using the Faedo-Galerkin approximation. Then, under suitable conditions, we prove the blow up of solutions in finite time.

Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay Keywords:

Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay authors

Erhan Pişkin

Dicle University, Department of Mathematics, Diyarbakir, Turkey.

Hazal Yuksekkaya

Dicle University, Department of Mathematics, Diyarbakir, Turkey.