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Barbu, Viorel and Da Prato, Giuseppe and Röckner, Michael:
Some Results on Stochastic Porous Media Equations
Bollettino dell'Unione Matematica Italiana Serie 9 1 (2008), fasc. n.1, p. 1-15, (English)
pdf (438 Kb), djvu (126 Kb). | MR 2387994 | Zbl 1205.60109

Sunto

Some recent results about nonnegative solutions of stochastic porous media equations in bounded open subsets of $\mathbb{R}^3$ are considered. The existence of an invariant measure is proved.
Referenze Bibliografiche
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[2] V. BARBU, Analysis and Control of Infinite Dimensional Systems, Academic Press, 1993. | MR 1195128 | Zbl 0776.49005
[3] V. BARBU - G. DA PRATO, The two phase stochastic Stefan problem, Probab. Theory Relat. Fields, 124 (2002), 544-560. | fulltext (doi) | MR 1942322 | Zbl 1101.60040
[4] V. BARBU - G. DA PRATO - M. RÕCKNER, Existence and uniqueness of nonnegative solutions to the stochastic porous media equation, Indiana J. Math. (to appear). | fulltext (doi) | MR 2400255
[5] V. BARBU - G. DA PRATO - M. RÕCKNER, Existence of strong solutions for stochastic porous media equation under general monotonicity conditions, Preprint n. 5, SNS Pisa, March 2007. | fulltext (doi) | MR 2510012
[6] G. DA PRATO - M. RÕCKNER - B. L. ROZOVSKII - FENG-YU WANG, Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity, Comm. Partial Differential Equations, 31, no. 1-3 (2006), 277-291. | fulltext (doi) | MR 2209754
[7] G. DA PRATO - J. ZABCZYK, Stochastic equations in infinite dimensions, Cambridge University Press, 1992. | fulltext (doi) | MR 1207136 | Zbl 0761.60052
[8] N. V. KRYLOV - B. L. ROZOVSKII, Stochastic evolution equations, Translated from Itogi Naukii Tekhniki, Seriya Sovremennye Problemy Matematiki, 14 (1979), 71-146, Plenum Publishing Corp. 1981.
[9] C. PREVOT - M. RÕCKNER, A concise course on stochastic partial differential equations, Monograph 2006, to appear in Lecture Notes in Mathematics, Springer. | MR 2329435
[10] J. REN - M. RÕCKNER - FENG-YU WANG, Stochastic generalized porous media and fast diffusions equations, BiBoS-preprint 2006, to appear in J. Diff. Eqn. | fulltext (doi) | MR 2334594
Home -> Boll. Un. Mat. Ital., Serie 9 -> Vol. 1 (2008), n. 1 -> pp. 1-15

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