Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping

Xiaosen Han

doi:10.4208/jpde.v22.n4.1

Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping

Authors

Xiaosen Han

DOI:

https://doi.org/10.4208/jpde.v22.n4.1

Keywords:

Global existence;exponential decay;nonlinear viscoelastic equation

Abstract

In this paper we investigate a nonlinear viscoelastic equation with nonlinear damping. Global existence of weak solutions and uniform decay of the energy have been established. The Faedo-Galerkin method and the perturbed energy method are employed to obtain the results.

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Published

2020-05-12

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Issue

Vol. 22 No. 4 (2009)

Section

Articles

How to Cite

Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping. (2020). Journal of Partial Differential Equations, 22(4), 299-314. https://doi.org/10.4208/jpde.v22.n4.1