Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation

Nikos Karachalios; Nikos Stavrakakis; Pavlos Xanthopoulos

doi:10.1155/S1085337503210022

Abstract and Applied Analysis (Jan 2003)

Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation

Nikos Karachalios,
Nikos Stavrakakis,
Pavlos Xanthopoulos

Affiliations

Nikos Karachalios: Department of Statistics and Actuarial Science, School of Sciences, University of the Aegean, Samos, Karlovassi 83200, Greece
Nikos Stavrakakis: Department of Mathematics, National Technical University, Zografou Campus, Athens 157 80, Greece
Pavlos Xanthopoulos: Department of Mathematics, National Technical University, Zografou Campus, Athens 157 80, Greece

DOI: https://doi.org/10.1155/S1085337503210022
Journal volume & issue: Vol. 2003, no. 9
pp. 521 – 538

Abstract

Read online

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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal