Open Access
2012 EXPONENTIAL STABILITY OF SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS WITH DELAYS
Cung The Anh, Le Van Hien
Taiwanese J. Math. 16(6): 2133-2151 (2012). DOI: 10.11650/twjm/1500406844

Abstract

In this paper we prove the global existence and the global exponential stability of weak solutions to a class of semilinear parabolic equations with discrete and distributed time-varying delays. Moreover, the exponential stability of stationary solutions of the equations is also studied. The obtained results can be applied to some models in biology and physics.

Citation

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Cung The Anh. Le Van Hien. "EXPONENTIAL STABILITY OF SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS WITH DELAYS." Taiwanese J. Math. 16 (6) 2133 - 2151, 2012. https://doi.org/10.11650/twjm/1500406844

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1261.35022
MathSciNet: MR3001840
Digital Object Identifier: 10.11650/twjm/1500406844

Subjects:
Primary: 35B35 , 37L15

Keywords: Exponential stability , Galerkin method , Lyapunov-Krasovskii functional , PDEs with delays , stationary solution , Weak solution

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 6 • 2012
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