"Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type" by Erhan Pişkin and Veysel Butakın

Article Title

Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents

Authors

Erhan Pişkin, Dicle University, Department of Mathematics, Diyarbakır,21280, Turkey,Follow
Veysel Butakın, Dicle University, Department of Mathematics, Diyarbakır,21280, TurkeyFollow

Document Type

Article

Abstract

In this paper, we consider a viscoelastic wave equation of Kirchhoff type with variable exponents. We show that under suitable conditions on the initial data and initial energy, the energy of solutions blow up in finite time with negative initial energy.

Keywords

Blow up, KirchhoffType equation, Viscoelastic wave equation, Variable exponent.

Recommended Citation

Pişkin, Erhan and Butakın, Veysel (2022) "Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents," Al-Qadisiyah Journal of Pure Science: Vol. 27 : No. 1 , Article 11.
Available at: https://doi.org/10.29350/qjps.2022.27.2.1480