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Volume 22, Issue 4
Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping

Xiaosen Han

DOI: 10.4208/jpde.v22.n4.1

J. Part. Diff. Eq., 22 (2009), pp. 299-314.

Published online: 2009-11

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  • 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.

  • Keywords

Global existence exponential decay nonlinear viscoelastic equation

  • AMS Subject Headings

35L90 35B40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-22-299, author = {Xiaosen Han }, title = {Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {4}, pages = {299--314}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v22.n4.1}, url = {http://global-sci.org/intro/article_detail/jpde/5259.html} }
TY - JOUR T1 - Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping AU - Xiaosen Han JO - Journal of Partial Differential Equations VL - 4 SP - 299 EP - 314 PY - 2009 DA - 2009/11 SN - 22 DO - http://doi.org/10.4208/jpde.v22.n4.1 UR - https://global-sci.org/intro/article_detail/jpde/5259.html KW - Global existence KW - exponential decay KW - nonlinear viscoelastic equation AB -

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.

Xiaosen Han . (2009). Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping. Journal of Partial Differential Equations. 22 (4). 299-314. doi:10.4208/jpde.v22.n4.1
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