Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping

Xiuli Lin and Fushan Li

Abstract and Applied Analysis, 2012, vol. 2012, 1-25

Abstract:

We consider the nonlinear Petrovsky plate model under the presence of long-time memory. Under suitable conditions, we show that the energy functional associated with the equation decays exponentially or polynomially to zero as time goes to infinity.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:419717

DOI: 10.1155/2012/419717

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