Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
@article{BUMI_2008_9_1_1_a0, author = {Barbu, Viorel and Da Prato, Giuseppe and R\"ockner, Michael}, title = {Some {Results} on {Stochastic} {Porous} {Media} {Equations}}, journal = {Bollettino della Unione matematica italiana}, pages = {1--15}, publisher = {mathdoc}, volume = {Ser. 9, 1}, number = {1}, year = {2008}, zbl = {1205.60109}, mrnumber = {2387994}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a0/} }
TY - JOUR AU - Barbu, Viorel AU - Da Prato, Giuseppe AU - Röckner, Michael TI - Some Results on Stochastic Porous Media Equations JO - Bollettino della Unione matematica italiana PY - 2008 SP - 1 EP - 15 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a0/ LA - en ID - BUMI_2008_9_1_1_a0 ER -
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael. Some Results on Stochastic Porous Media Equations. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 1-15. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a0/
[1] The porous medium equation, Lecture Notes Math. Vol. 1224, Springer, Berlin (1986), 1-46. | DOI | MR | Zbl
,[2] Analysis and Control of Infinite Dimensional Systems, Academic Press, 1993. | MR | Zbl
,[3] The two phase stochastic Stefan problem, Probab. Theory Relat. Fields, 124 (2002), 544-560. | DOI | MR | Zbl
- ,[4] Existence and uniqueness of nonnegative solutions to the stochastic porous media equation, Indiana J. Math. (to appear). | DOI | MR
- - ,[5] Existence of strong solutions for stochastic porous media equation under general monotonicity conditions, Preprint n. 5, SNS Pisa, March 2007. | DOI | MR
- - ,[6] Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity, Comm. Partial Differential Equations, 31, no. 1-3 (2006), 277-291. | DOI | MR
- - - ,[7] Stochastic equations in infinite dimensions, Cambridge University Press, 1992. | DOI | MR | Zbl
- ,[8] Stochastic evolution equations, Translated from Itogi Naukii Tekhniki, Seriya Sovremennye Problemy Matematiki, 14 (1979), 71-146, Plenum Publishing Corp. 1981.
- ,[9] A concise course on stochastic partial differential equations, Monograph 2006, to appear in Lecture Notes in Mathematics, Springer. | MR
- ,[10] Stochastic generalized porous media and fast diffusions equations, BiBoS-preprint 2006, to appear in J. Diff. Eqn. | DOI | MR
- - ,