Dareiotis, K and Gess, B (2019) Supremum estimates for degenerate, quasilinear stochastic partial differential equations. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 55 (3). pp. 1765-1796. ISSN 0246-0203
Abstract
We prove a priori estimates in L∞ for a class of quasilinear stochastic partial differential equations. The estimates are obtained independently of the ellipticity constant ε and thus imply analogous estimates for degenerate quasilinear stochastic partial differential equations, such as the stochastic porous medium equation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Association des Publications de l’Institut Henri Poincaré, 2019. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Degenerate SPDEs; Stochastic porous medium; Moser’s iteration |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Nov 2019 12:12 |
Last Modified: | 05 Nov 2019 12:18 |
Status: | Published |
Publisher: | Institute Henri Poincaré |
Identification Number: | 10.1214/18-AIHP934 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:153090 |