HOLDER ESTIMATES FOR SOLUTIONS OF DEGENERATE NONDIVERGENCE ELLIPTIC AND PARABOLIC EQUATIONS

被引：3

作者：

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

机构：

[1] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2010年 / 21卷 / 04期

关键词：

Nondivergence equations; Holder estimates; degeneration; regularly varying functions; REGULARITY; MAXIMUM;

D O I：

10.1090/S1061-0022-2010-01109-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with a class of nondivergence type elliptic and parabolic equations degenerating at the coordinate hyperplanes. Assuming that the degeneration is coordinatewise and varies regularly, we prove the Holder continuity of solutions. Also, the approximative solutions are considered.

引用

页码：635 / 650

页数：16

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