Supremum estimates for parabolic stochastic partial differential equations
Résumé
We generalize the approach à la De Giorgi developed in [HsuWangWang2017] to get some estimates on the moments of the sup-norm of the solutions to parabolic stochastic partial differential equations. We also provide an alternative method, based on duality and estimates $L^1-L^r$ \`a la Boccardo-Gallou\"et [BoccardoGallouet89], for a backward stochastic partial differential equation.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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