Hölder gradient estimates for parabolic homogeneous p-Laplacian equations

Tianling Jin; Luis Silvestre

doi:10.1016/j.matpur.2016.10.010

Hölder gradient estimates for parabolic homogeneous p-Laplacian equations

Tianling Jin
, Luis Silvestre^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal Article › peer-review

37 Citations (Scopus)

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.

Original language	English
Pages (from-to)	63-87
Number of pages	25
Journal	Journal des Mathematiques Pures et Appliquees
Volume	108
Issue number	1
DOIs	https://doi.org/10.1016/j.matpur.2016.10.010
Publication status	Published - Jul 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Masson SAS

Keywords

Regularity
Tug-of-war with noise
p-Laplacian in non-divergence form

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10.1016/j.matpur.2016.10.010

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title = "H{\"o}lder gradient estimates for parabolic homogeneous p-Laplacian equations",

abstract = "We prove interior H{\"o}lder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation ut=|∇u|2−p div(|∇u|p−2∇u) where 1",

keywords = "Regularity, Tug-of-war with noise, p-Laplacian in non-divergence form",

author = "Tianling Jin and Luis Silvestre",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Masson SAS",

year = "2017",

month = jul,

doi = "10.1016/j.matpur.2016.10.010",

language = "English",

volume = "108",

pages = "63--87",

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T1 - Hölder gradient estimates for parabolic homogeneous p-Laplacian equations

AU - Jin, Tianling

AU - Silvestre, Luis

PY - 2017/7

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N2 - We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation ut=|∇u|2−p div(|∇u|p−2∇u) where 1

AB - We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation ut=|∇u|2−p div(|∇u|p−2∇u) where 1

KW - Regularity

KW - Tug-of-war with noise

KW - p-Laplacian in non-divergence form

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000404699000004

UR - https://openalex.org/W2963693363

U2 - 10.1016/j.matpur.2016.10.010

DO - 10.1016/j.matpur.2016.10.010

M3 - Journal Article

SN - 0021-7824

VL - 108

SP - 63

EP - 87

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 1

ER -

Hölder gradient estimates for parabolic homogeneous p-Laplacian equations

Abstract

Bibliographical note

Keywords

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