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2013 Global Existence and Uniform Energy Decay Rates for the Semilinear Parabolic Equation with a Memory Term and Mixed Boundary Condition
Zhong Bo Fang, Liru Qiu
Abstr. Appl. Anal. 2013(SI42): 1-12 (2013). DOI: 10.1155/2013/532935

Abstract

This work is concerned with a mixed boundary value problem for the semilinear parabolic equation with a memory term and generalized Lewis functions which depends on both spacial variable and time. Under suitable conditions, we prove the existence and uniqueness of global solutions and the energy functional decaying exponentially or polynomially to zero as the time goes to infinity by introducing brief Lyapunov function and precise priori estimates.

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Zhong Bo Fang. Liru Qiu. "Global Existence and Uniform Energy Decay Rates for the Semilinear Parabolic Equation with a Memory Term and Mixed Boundary Condition." Abstr. Appl. Anal. 2013 (SI42) 1 - 12, 2013. https://doi.org/10.1155/2013/532935

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1293.35145
MathSciNet: MR3126756
Digital Object Identifier: 10.1155/2013/532935

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI42 • 2013
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