Time-interior Gradient Estimates for Quasilinear Parabolic Equations

被引：26

作者：

Andrews, Ben ^{[1
]}

Clutterbuck, Julie ^{[1
]}

机构：

[1] Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT 0200, Australia

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2009年 / 58卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Parabolic equation; gradient estimate; MEAN-CURVATURE; COEFFICIENTS; INTERFACE;

D O I：

10.1512/iumj.2009.58.3756

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：351 / 380

页数：30

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