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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| Language: | English |
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2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/52498 |
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doaj-9a56cb6a9dc04d73884462e7cb74abae2020-11-25T02:28:21ZengSpringerOpenJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fujita Yasuhiro |
| spellingShingle |
Fujita Yasuhiro On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator Journal of Inequalities and Applications |
| author_facet |
Fujita Yasuhiro |
| author_sort |
Fujita Yasuhiro |
| title |
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_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_sort |
on basin of zero-solutions to a semilinear parabolic equation with ornstein-uhlenbeck operator |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2006-01-01 |
| 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> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2006/52498 |
| work_keys_str_mv |
AT fujitayasuhiro onbasinofzerosolutionstoasemilinearparabolicequationwithornsteinuhlenbeckoperator |
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1724838656035782656 |