Time-interior gradient estimates for quasilinear parabolic equations

Ben Andrews; Julie Clutterbuck

doi:10.1512/iumj.2009.58.3756

Time-interior gradient estimates for quasilinear parabolic equations

Ben Andrews^*
, Julie Clutterbuck

^*Corresponding author for this work

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

26 Citations (Scopus)

Abstract

Bounded smooth solutions of the Dirichlet and Neumann problems for a wide variety of quasilinear parabolic equations, including graphical anisotropic mean curvature flows, have gradient bounded in terms of oscillation and elapsed time.

Original language	English
Pages (from-to)	351-380
Number of pages	30
Journal	Indiana University Mathematics Journal
Volume	58
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2009.58.3756
Publication status	Published - 2009

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title = "Time-interior gradient estimates for quasilinear parabolic equations",

abstract = "Bounded smooth solutions of the Dirichlet and Neumann problems for a wide variety of quasilinear parabolic equations, including graphical anisotropic mean curvature flows, have gradient bounded in terms of oscillation and elapsed time.",

keywords = "Gradient estimate, Parabolic equation",

author = "Ben Andrews and Julie Clutterbuck",

year = "2009",

doi = "10.1512/iumj.2009.58.3756",

language = "English",

volume = "58",

pages = "351--380",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Department of Mathematics, Indiana University",

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AU - Clutterbuck, Julie

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AB - Bounded smooth solutions of the Dirichlet and Neumann problems for a wide variety of quasilinear parabolic equations, including graphical anisotropic mean curvature flows, have gradient bounded in terms of oscillation and elapsed time.

KW - Gradient estimate

KW - Parabolic equation

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U2 - 10.1512/iumj.2009.58.3756

DO - 10.1512/iumj.2009.58.3756

M3 - Article

SN - 0022-2518

VL - 58

SP - 351

EP - 380

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 1

ER -

Time-interior gradient estimates for quasilinear parabolic equations

Abstract

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