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Random Attractors for Stochastic Porous Media Equations

Röckner, M (Bielefeld )
Tuesday 30 March 2010, 11:30-12:30

Seminar Room 1, Newton Institute


Joint work with Wolf-Jurgen Beyn, Benjamin Gess and Paul Lescot. 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 rst 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.


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