Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896412 | Physica D: Nonlinear Phenomena | 2010 | 5 Pages |
Abstract
We consider the operator Au=12ÎuâãDU,Duã, where U is a convex real function defined in a convex open set OâRN and lim|x|ââU(x)=limxââOU(x)=+â. We prove that the associated Markov semigroup is ultrabounded with respect to the Gibbs measure eâ2U(x)dx.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Giuseppe Da Prato, Alessandra Lunardi,