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

Xiuli Lin and Fushan Li

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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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https://doi.org/10.1155/2012/419717

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:419717

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