| Autor: |
Beyn, W., Gess, B., Lescot, P., Röckner, M. |
| Rok vydání: |
2010 |
| Předmět: |
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| Zdroj: |
Comm. Partial Differential Equations 36 (2011), no. 3, 446-469 |
| Druh dokumentu: |
Working Paper |
| Popis: |
We prove new $L^2$-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 "$\zeta$-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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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