Gradient estimates for variable coefficient parabolic equations and singular perturbation problems

被引：60

作者：

Caffarelli, LA

Kenig, CE

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 1998年 / 120卷 / 02期

关键词：

D O I：

10.1353/ajm.1998.0009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we prove, via monotonicity formulas, interior and boundary gradient estimates for solutions to second order parabolic equations, in divergence form, with Dini top order coefficients. We then prove uniform Lipschitz estimates for solutions of singular perturbation problems, using the previous results, and two phase monotonicity formulas.

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收藏

页码：391 / 439

页数：49

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