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 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |