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

23 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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10.1512/iumj.2009.58.3756

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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",

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pages = "351--380",

journal = "Indiana University Mathematics Journal",

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DO - 10.1512/iumj.2009.58.3756

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JO - Indiana University Mathematics Journal

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Time-interior gradient estimates for quasilinear parabolic equations

Abstract

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