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| Authors: | Laurent?Denis mailto:ldenis@univ-evry.fr" title=" ldenis@univ-evry.fr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Anis?Matoussi,Lucretiu?Stoica |
| Affiliation: | (1) Département de Mathématiques, Equipe “Analyse et Probabilités”, Université d'Evry-Val-d'Essonne, Boulevard F. Mitterrand, 91 025 EVRY Cedex, France;(2) Département de Mathématiques, Equipe “Statistique et Processus”, Université du Maine, Avenue Olivier Messiaen, 72085 LE MANS Cedex 9, France;(3) Faculty of Mathematics, University of Bucharest, Str. Academiei 14, Bucharest, RO, 70109, Romania |
| Abstract: | In this paper we prove Lp estimates (p≥2) for the uniform norm of the paths of solutions of quasilinear stochastic partial differential equations (SPDE) of parabolic type. Our method is based on a version of Moser's iteration scheme developed by Aronson and Serrin in the context of non-linear parabolic PDE. |
| Keywords: | 60H15 60G46 35R60 |
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