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Hölder gradient estimates for parabolic homogeneous p-Laplacian equations

Jin, Tianling and Silvestre, Luis (2017) Hölder gradient estimates for parabolic homogeneous p-Laplacian equations. Journal de Mathématiques Pures et Appliquées, 108 (1). pp. 63-87. ISSN 0021-7824. https://resolver.caltech.edu/CaltechAUTHORS:20170629-142927842

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Abstract

We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation U_t=|∇u|^(2−p) div(|∇u|^(p−2)∇u), where 1<p<∞. This equation arises from tug-of-war-like stochastic games with noise. It can also be considered as the parabolic p-Laplacian equation in non-divergence form.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.matpur.2016.10.010DOIArticle
http://www.sciencedirect.com/science/article/pii/S0021782416301210PublisherArticle
https://arxiv.org/abs/1505.05525arXivDiscussion Paper
Additional Information:© 2016 Elsevier Masson SAS. Received 28 March 2016, Available online 31 October 2016. Supported in part by NSF grant DMS-1362525. Supported in part by NSF grants DMS-1254332 and DMS-1065979.
Funders:
Funding AgencyGrant Number
NSFDMS-1362525
NSFDMS-1254332
NSFDMS-1065979
Subject Keywords:Regularity; p-Laplacian in non-divergence form; Tug-of-war with noise
Issue or Number:1
Classification Code:MSC: 35K92; 35D40; 35B65
Record Number:CaltechAUTHORS:20170629-142927842
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170629-142927842
Official Citation:Tianling Jin, Luis Silvestre, Hölder gradient estimates for parabolic homogeneous p-Laplacian equations, Journal de Mathématiques Pures et Appliquées, Volume 108, Issue 1, July 2017, Pages 63-87, ISSN 0021-7824, https://doi.org/10.1016/j.matpur.2016.10.010. (http://www.sciencedirect.com/science/article/pii/S0021782416301210)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78713
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Jun 2017 17:37
Last Modified:03 Oct 2019 18:11

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