Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495438 | Journal of Functional Analysis | 2005 | 50 Pages |
Abstract
We prove existence, smoothness and ergodicity results for semilinear parabolic problems on infinite dimensional spaces assuming the Logarithmic Sobolev inequality is satisfied. As a consequence we construct a class of nonlinear Markov semigroup which are hypercontractive.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
P. Fougères, B. ZegarliÅski,