On the Holder continuity of solutions of the Venttsel' elliptic problem

被引：2

作者：

Nazarov, A. I. ^{[1
,2
]}

Paletskikh, A. A. ^{[2
]}

机构：

[1] Russian Acad Sci, St Petersburg Branch, Steklov Inst Math, St Petersburg 191023, Russia

[2] St Petersburg State Univ, St Petersburg 199034, Russia

来源：

DOKLADY MATHEMATICS | 2015年 / 92卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

PARABOLIC EQUATIONS; COEFFICIENTS;

D O I：

10.1134/S1064562415060307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For solutions of the Venttsel' problem in divergence form, a local Holder estimate is obtained. It is shown that Harnack's inequality in classical form does not hold.

引用

页码：747 / 751

页数：5

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