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

نویسندگان
Pişkin, Erhan ID 1
Yuksekkaya, Hazal ID 2

1 Dicle University, Department of Mathematics, Diyarbakir, Turkey.

2 Dicle University, Department of Mathematics, Diyarbakir, Turkey.

doi
10.22034/cmde.2020.35546.1608
چکیده

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.

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