Upper semicontinuity of random attractors for non-compact random dynamical systems
The upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one. This result is applied to the stochastic Reaction-Diffusion with white noise defined on the entire space R^n.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/139/abstr.html |
| _version_ | 1828276302289829888 |
|---|---|
| author | Bixiang Wang |
| author_facet | Bixiang Wang |
| author_sort | Bixiang Wang |
| collection | DOAJ |
| description | The upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one. This result is applied to the stochastic Reaction-Diffusion with white noise defined on the entire space R^n. |
| first_indexed | 2024-04-13T06:56:08Z |
| format | Article |
| id | doaj.art-9108b0d96f6f4dbdad17b7de5ee9d84e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T06:56:08Z |
| publishDate | 2009-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9108b0d96f6f4dbdad17b7de5ee9d84e2022-12-22T02:57:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-10-012009139,118Upper semicontinuity of random attractors for non-compact random dynamical systemsBixiang WangThe upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one. This result is applied to the stochastic Reaction-Diffusion with white noise defined on the entire space R^n.http://ejde.math.txstate.edu/Volumes/2009/139/abstr.htmlStochastic Reaction-Diffusion equationrandom attractorasymptotic compactnessupper semicontinuity |
| spellingShingle | Bixiang Wang Upper semicontinuity of random attractors for non-compact random dynamical systems Electronic Journal of Differential Equations Stochastic Reaction-Diffusion equation random attractor asymptotic compactness upper semicontinuity |
| title | Upper semicontinuity of random attractors for non-compact random dynamical systems |
| title_full | Upper semicontinuity of random attractors for non-compact random dynamical systems |
| title_fullStr | Upper semicontinuity of random attractors for non-compact random dynamical systems |
| title_full_unstemmed | Upper semicontinuity of random attractors for non-compact random dynamical systems |
| title_short | Upper semicontinuity of random attractors for non-compact random dynamical systems |
| title_sort | upper semicontinuity of random attractors for non compact random dynamical systems |
| topic | Stochastic Reaction-Diffusion equation random attractor asymptotic compactness upper semicontinuity |
| url | http://ejde.math.txstate.edu/Volumes/2009/139/abstr.html |
| work_keys_str_mv | AT bixiangwang uppersemicontinuityofrandomattractorsfornoncompactrandomdynamicalsystems |