# American Institute of Mathematical Sciences

July  2009, 23(3): 639-654. doi: 10.3934/dcds.2009.23.639

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

 1 Department of Mathematics “E. De Giorgi”, University of Salento, P.O. Box 193, Via Per Arnesano, 73100 Lecce, Italy, Italy

Received  November 2007 Revised  June 2008 Published  November 2008

We introduce a class of non-symmetric bilinear forms on the d-dimen\-sional canonical simplex, related with Fleming-Viot type 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.
Citation: Angela A. Albanese, Elisabetta M. Mangino. A class of non-symmetric forms on the canonical simplex of $\R^d$. Discrete and Continuous Dynamical Systems, 2009, 23 (3) : 639-654. doi: 10.3934/dcds.2009.23.639
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