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Mathematics

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University of Al-Qadisiyah

2022

KirchhoffType equation

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Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents, Erhan Pişkin, Veysel Butakın Apr 2022

Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents, Erhan Pişkin, Veysel Butakın

Al-Qadisiyah Journal of Pure Science

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.