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14 May 2003 Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Nikos Karachalios, Nikos Stavrakakis, Pavlos Xanthopoulos
Abstr. Appl. Anal. 2003(9): 521-538 (14 May 2003). DOI: 10.1155/S1085337503210022

Abstract

We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.

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Nikos Karachalios. Nikos Stavrakakis. Pavlos Xanthopoulos. "Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation." Abstr. Appl. Anal. 2003 (9) 521 - 538, 14 May 2003. https://doi.org/10.1155/S1085337503210022

Information

Published: 14 May 2003
First available in Project Euclid: 19 May 2003

zbMATH: 1019.35048
MathSciNet: MR1981483
Digital Object Identifier: 10.1155/S1085337503210022

Subjects:
Primary: 35B40 , 35K55
Secondary: 35B41

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 9 • 14 May 2003
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