Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory
We translate into the language of semi-group theory Bismut's Calculus on boundary processes (Bismut (1983), Lèandre (1989)) which gives regularity result on the heat kernel associated with fractional powers of degenerated Laplacian. We translate into the language of semi-group theory the marria...
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Hindawi Limited
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/575383 |
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doaj-b4c6c24391a6474b819cfe2be25c66942020-11-24T21:00:22ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/575383575383Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group TheoryRémi Léandre0Institut de Mathématiques, Université de Bourgogne, 21000 Dijon, FranceWe translate into the language of semi-group theory Bismut's Calculus on boundary processes (Bismut (1983), Lèandre (1989)) which gives regularity result on the heat kernel associated with fractional powers of degenerated Laplacian. We translate into the language of semi-group theory the marriage of Bismut (1983) between the Malliavin Calculus of Bismut type on the underlying diffusion process and the Malliavin Calculus of Bismut type on the subordinator which is a jump process.http://dx.doi.org/10.1155/2011/575383 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rémi Léandre |
| spellingShingle |
Rémi Léandre Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory International Journal of Differential Equations |
| author_facet |
Rémi Léandre |
| author_sort |
Rémi Léandre |
| title |
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory |
| title_short |
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory |
| title_full |
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory |
| title_fullStr |
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory |
| title_full_unstemmed |
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory |
| title_sort |
malliavin calculus of bismut type for fractional powers of laplacians in semi-group theory |
| publisher |
Hindawi Limited |
| series |
International Journal of Differential Equations |
| issn |
1687-9643 1687-9651 |
| publishDate |
2011-01-01 |
| description |
We translate into the language of semi-group theory Bismut's Calculus on boundary processes (Bismut (1983), Lèandre (1989)) which gives regularity result on the heat kernel associated with fractional powers of degenerated Laplacian. We translate into the language of semi-group theory the marriage of Bismut (1983) between the Malliavin Calculus of Bismut type on the underlying diffusion process and the Malliavin Calculus of Bismut type on the subordinator which is a jump process. |
| url |
http://dx.doi.org/10.1155/2011/575383 |
| work_keys_str_mv |
AT remileandre malliavincalculusofbismuttypeforfractionalpowersoflaplaciansinsemigrouptheory |
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1716779989547876352 |