50 pagesInternational audienceWe study the existence, smoothing properties and the long time behaviour for a class of nonlinear Cauchy problems in infinite dimensions under the assumption of F-Sobolev inequalities
$\mu$ being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F fo...
24 pagesInternational audienceWe derive sharp, local and dimension dependent hypercontractive bounds...
International audienceWe investigate the dissipativity properties of a class of scalar second order ...
50 pagesInternational audienceWe study the existence, smoothing properties and the long time behavio...
We study the existence, smoothing properties and the long time behaviour for a class of nonlinear Ca...
AbstractWe prove existence, smoothness and ergodicity results for semilinear parabolic problems on i...
AbstractWe prove log-Sobolev inequalities for Hörmander type generators in infinite dimensions and p...
article 47International audienceWe study existence and uniqueness of the invariant measure for a sto...
AbstractWe study coercive inequalities in Orlicz spaces associated to the probability measures on fi...
For a family of infinite-dimensional diffusions with degenerate noise, we develop a modified $\Gamma...
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the spac...
We study coercive inequalities in Orlicz spaces associated to the probability measures on finite and...
International audienceIn these notes, we describe some of the most interesting inequalities related ...
Let E be an infinite-dimensional vector space carrying a Gaussian measure μ with mean 0 and a measur...
The thesis consists of two projects. In the first part, we develop well-posedness theories for infin...
$\mu$ being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F fo...
24 pagesInternational audienceWe derive sharp, local and dimension dependent hypercontractive bounds...
International audienceWe investigate the dissipativity properties of a class of scalar second order ...
50 pagesInternational audienceWe study the existence, smoothing properties and the long time behavio...
We study the existence, smoothing properties and the long time behaviour for a class of nonlinear Ca...
AbstractWe prove existence, smoothness and ergodicity results for semilinear parabolic problems on i...
AbstractWe prove log-Sobolev inequalities for Hörmander type generators in infinite dimensions and p...
article 47International audienceWe study existence and uniqueness of the invariant measure for a sto...
AbstractWe study coercive inequalities in Orlicz spaces associated to the probability measures on fi...
For a family of infinite-dimensional diffusions with degenerate noise, we develop a modified $\Gamma...
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the spac...
We study coercive inequalities in Orlicz spaces associated to the probability measures on finite and...
International audienceIn these notes, we describe some of the most interesting inequalities related ...
Let E be an infinite-dimensional vector space carrying a Gaussian measure μ with mean 0 and a measur...
The thesis consists of two projects. In the first part, we develop well-posedness theories for infin...
$\mu$ being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F fo...
24 pagesInternational audienceWe derive sharp, local and dimension dependent hypercontractive bounds...
International audienceWe investigate the dissipativity properties of a class of scalar second order ...
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