We introduce a class of non-symmetric bilinear forms on the $d$-dimensional canonical simplex, related with Fleming-Viot operators. Strong continuity, closedness and results in the spirit of Beurling-Deny criteria are established. Moreover, under suitable assumptions, we prove that the forms satisfy the Log-Sobolev inequality. As a consequence, regularity results for semigroups generated by a class of Fleming-Viot type operators are given.

A class of non-symmetric forms on the canonical simplex of $R^d$

ALBANESE, Angela Anna;MANGINO, Elisabetta Maria
2009-01-01

Abstract

We introduce a class of non-symmetric bilinear forms on the $d$-dimensional canonical simplex, related with Fleming-Viot operators. Strong continuity, closedness and results in the spirit of Beurling-Deny criteria are established. Moreover, under suitable assumptions, we prove that the forms satisfy the Log-Sobolev inequality. As a consequence, regularity results for semigroups generated by a class of Fleming-Viot type operators are given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/102088
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