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

Author(s):

Erhan Pişkin * , Hazal Yuksekkaya

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Local existence , Blow-up , Logarithmic nonlinearity , Delay term

Language:
English
Published:
Computational Methods for Differential Equations, Volume:9 Issue: 2, Spring 2021
Pages:
623 to 636
https://www.magiran.com/p2268518