A priori estimates for fully nonlinear parabolic equations

Guji Tian; Xu Jia Wang

doi:10.1093/imrn/rns169

A priori estimates for fully nonlinear parabolic equations

Guji Tian, Xu Jia Wang^*

^*Corresponding author for this work

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

17 Citations (Scopus)

Abstract

In this paper, we prove the Hölder continuity of the second derivatives for fully nonlinear, uniformly parabolic equations. We assume the inhomogeneous term f is Hölder continuous with respect to the spatial variables x and bounded and measurable with respect to the time t. As an application, we obtain higher regularity for curvature flows with volume constraints.

Original language	English
Pages (from-to)	3857-3877
Number of pages	21
Journal	International Mathematics Research Notices
Volume	2013
Issue number	17
DOIs	https://doi.org/10.1093/imrn/rns169
Publication status	Published - 1 Jan 2013

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title = "A priori estimates for fully nonlinear parabolic equations",

abstract = "In this paper, we prove the H{\"o}lder continuity of the second derivatives for fully nonlinear, uniformly parabolic equations. We assume the inhomogeneous term f is H{\"o}lder continuous with respect to the spatial variables x and bounded and measurable with respect to the time t. As an application, we obtain higher regularity for curvature flows with volume constraints.",

author = "Guji Tian and Wang, {Xu Jia}",

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AU - Wang, Xu Jia

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AB - In this paper, we prove the Hölder continuity of the second derivatives for fully nonlinear, uniformly parabolic equations. We assume the inhomogeneous term f is Hölder continuous with respect to the spatial variables x and bounded and measurable with respect to the time t. As an application, we obtain higher regularity for curvature flows with volume constraints.

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DO - 10.1093/imrn/rns169

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VL - 2013

SP - 3857

EP - 3877

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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ER -

A priori estimates for fully nonlinear parabolic equations

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