On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator
<p/> <p>We consider the basin of the zero-solution to a semilinear parabolic equation on <inline-formula><graphic file="1029-242X-2006-52498-i1.gif"/></inline-formula> with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operato...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/52498 |
| _version_ | 1811331355860008960 |
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| author | Fujita Yasuhiro |
| author_facet | Fujita Yasuhiro |
| author_sort | Fujita Yasuhiro |
| collection | DOAJ |
| description | <p/> <p>We consider the basin of the zero-solution to a semilinear parabolic equation on <inline-formula><graphic file="1029-242X-2006-52498-i1.gif"/></inline-formula> with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev inequality.</p> |
| first_indexed | 2024-04-13T16:19:03Z |
| format | Article |
| id | doaj.art-9a56cb6a9dc04d73884462e7cb74abae |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T16:19:03Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-9a56cb6a9dc04d73884462e7cb74abae2022-12-22T02:39:59ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2006-01-012006152498On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operatorFujita Yasuhiro<p/> <p>We consider the basin of the zero-solution to a semilinear parabolic equation on <inline-formula><graphic file="1029-242X-2006-52498-i1.gif"/></inline-formula> with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev inequality.</p>http://www.journalofinequalitiesandapplications.com/content/2006/52498 |
| spellingShingle | Fujita Yasuhiro On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator Journal of Inequalities and Applications |
| title | On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator |
| title_full | On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator |
| title_fullStr | On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator |
| title_full_unstemmed | On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator |
| title_short | On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator |
| title_sort | on basin of zero solutions to a semilinear parabolic equation with ornstein uhlenbeck operator |
| url | http://www.journalofinequalitiesandapplications.com/content/2006/52498 |
| work_keys_str_mv | AT fujitayasuhiro onbasinofzerosolutionstoasemilinearparabolicequationwithornsteinuhlenbeckoperator |