We prove that the solutions to fast diffusion stochastic porous media equations have finite time extinction with strictly positive probability.
Nous prouvons l'extinction avec une probabilité strictement positive pour les solutions des équations des milieux poreux avec diffusion rapide.
Accepted:
Published online:
Viorel Barbu 1; Giuseppe Da Prato 2; Michael Röckner 3, 4
@article{CRMATH_2009__347_1-2_81_0, author = {Viorel Barbu and Giuseppe Da Prato and Michael R\"ockner}, title = {Finite time extinction for solutions to fast diffusion stochastic porous media equations}, journal = {Comptes Rendus. Math\'ematique}, pages = {81--84}, publisher = {Elsevier}, volume = {347}, number = {1-2}, year = {2009}, doi = {10.1016/j.crma.2008.11.018}, language = {en}, }
TY - JOUR AU - Viorel Barbu AU - Giuseppe Da Prato AU - Michael Röckner TI - Finite time extinction for solutions to fast diffusion stochastic porous media equations JO - Comptes Rendus. Mathématique PY - 2009 SP - 81 EP - 84 VL - 347 IS - 1-2 PB - Elsevier DO - 10.1016/j.crma.2008.11.018 LA - en ID - CRMATH_2009__347_1-2_81_0 ER -
%0 Journal Article %A Viorel Barbu %A Giuseppe Da Prato %A Michael Röckner %T Finite time extinction for solutions to fast diffusion stochastic porous media equations %J Comptes Rendus. Mathématique %D 2009 %P 81-84 %V 347 %N 1-2 %I Elsevier %R 10.1016/j.crma.2008.11.018 %G en %F CRMATH_2009__347_1-2_81_0
Viorel Barbu; Giuseppe Da Prato; Michael Röckner. Finite time extinction for solutions to fast diffusion stochastic porous media equations. Comptes Rendus. Mathématique, Volume 347 (2009) no. 1-2, pp. 81-84. doi : 10.1016/j.crma.2008.11.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.11.018/
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