Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation

Nikos Karachalios, Nikos Stavrakakis and Pavlos Xanthopoulos

Abstract and Applied Analysis, 2003, vol. 2003, 1-18

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:914924

DOI: 10.1155/S1085337503210022

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