Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503210022 |
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| _version_ | 1832559028135264256 |
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| author | Nikos Karachalios Nikos Stavrakakis Pavlos Xanthopoulos |
| author_facet | Nikos Karachalios Nikos Stavrakakis Pavlos Xanthopoulos |
| author_sort | Nikos Karachalios |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b89e2bc55958487c95efe3aa95497bad |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b89e2bc55958487c95efe3aa95497bad2025-02-03T01:31:05ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-012003952153810.1155/S1085337503210022Asymptotic behavior of solutions for a semibounded nonmonotone evolution equationNikos Karachalios0Nikos Stavrakakis1Pavlos Xanthopoulos2Department of Statistics and Actuarial Science, School of Sciences, University of the Aegean, Samos, Karlovassi 83200, GreeceDepartment of Mathematics, National Technical University, Zografou Campus, Athens 157 80, GreeceDepartment of Mathematics, National Technical University, Zografou Campus, Athens 157 80, GreeceWe 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.http://dx.doi.org/10.1155/S1085337503210022 |
| spellingShingle | Nikos Karachalios Nikos Stavrakakis Pavlos Xanthopoulos Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation Abstract and Applied Analysis |
| title | Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation |
| title_full | Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation |
| title_fullStr | Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation |
| title_full_unstemmed | Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation |
| title_short | Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation |
| title_sort | asymptotic behavior of solutions for a semibounded nonmonotone evolution equation |
| url | http://dx.doi.org/10.1155/S1085337503210022 |
| work_keys_str_mv | AT nikoskarachalios asymptoticbehaviorofsolutionsforasemiboundednonmonotoneevolutionequation AT nikosstavrakakis asymptoticbehaviorofsolutionsforasemiboundednonmonotoneevolutionequation AT pavlosxanthopoulos asymptoticbehaviorofsolutionsforasemiboundednonmonotoneevolutionequation |