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

Document Type : Research Paper

Authors

Dicle University, Department of Mathematics, Diyarbakir, Turkey.

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.

Keywords


Volume 9, Issue 2
April 2021
Pages 623-636
  • Receive Date: 09 September 2019
  • Revise Date: 05 June 2020
  • Accept Date: 09 June 2020
  • First Publish Date: 01 April 2021