The global random attractor for a class of stochastic porous media equations
Résumé
We prove new L2-estimates and regularity results for generalized porous media equations "shifted by" a function-valued Wiener path. To include Wiener paths with merely first spatial (weak) derivates we introduce the notion of " -monotonicity" for the non-linear function in the equation. As a consequence we prove that stochastic porous media equations have global random attractors. In addition, we show that (in particular for the classical stochastic porous media equation) this attractor consists of a random point.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)
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