Sub-gaussian measures and associated semilinear problems

Pierre Fougeres (1) , Cyril Roberto (2) , Boguslaw Zegarlinski (3)

1 MODAL'X - Modélisation aléatoire de Paris X
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
3 Department of Mathematics [Imperial College London]

We 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.

Mots clés: Infinite dimensions; F-Sobolev inequalities; Semilinear parabolic problems; Infinite dimensions.

Domaines: Probabilités [math.PR]

Pierre Fougeres, Cyril Roberto, Boguslaw Zegarlinski. Sub-gaussian measures and associated semilinear problems. 2007. ⟨hal-00149360v1⟩