Global existence of solutions for a coupled viscoelastic plate equation with degenerate damping terms

Erhan Pişkin; Fatma Ekinci

doi:10.32513/tmj/19322008153

Abstract

We consider a coupled viscoelastic plate nonlinear equations with degenerate damping terms on a bounded domain in $R^{n}$ . We establish the global existence results under different conditions.

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Erhan Pişkin. Fatma Ekinci. "Global existence of solutions for a coupled viscoelastic plate equation with degenerate damping terms." Tbilisi Math. J. 14 (3) 195 - 206, August 2021. https://doi.org/10.32513/tmj/19322008153

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Received: 10 November 2020; Accepted: 24 July 2021; Published: August 2021

First available in Project Euclid: 3 September 2021

MathSciNet: MR4307909

Digital Object Identifier: 10.32513/tmj/19322008153

Subjects:

Primary: 18B40

Secondary: 18C15 , 18D05

Keywords: degenerate damping , global existence , plate equation , viscoelastic equation

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