Time-interior gradient estimates for quasilinear parabolic equations

Research output: Contribution to journalArticleResearchpeer-review

13 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 languageEnglish
Pages (from-to)351 - 380
Number of pages30
JournalIndiana University Mathematics Journal
Volume58
Issue number1
DOIs
Publication statusPublished - 2009
Externally publishedYes

Cite this

@article{71ecb61d65584e90b836ecfada79c094,
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.",
author = "Ben Andrews and Clutterbuck, {Julie Faye}",
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 = "Indiana University Mathematics Journal",
number = "1",

}

Time-interior gradient estimates for quasilinear parabolic equations. / Andrews, Ben; Clutterbuck, Julie Faye.

In: Indiana University Mathematics Journal, Vol. 58, No. 1, 2009, p. 351 - 380.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Time-interior gradient estimates for quasilinear parabolic equations

AU - Andrews, Ben

AU - Clutterbuck, Julie Faye

PY - 2009

Y1 - 2009

N2 - 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.

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.

UR - http://www.iumj.indiana.edu/IUMJ/FTDLOAD/2009/58/3756/pdf

U2 - 10.1512/iumj.2009.58.3756

DO - 10.1512/iumj.2009.58.3756

M3 - Article

VL - 58

SP - 351

EP - 380

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

IS - 1

ER -