INTERIOR ESTIMATES IN MORREY SPACES FOR STRONG SOLUTIONS TO NONDIVERGENCE FORM EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

被引：258

作者：

DIFAZIO, G

RAGUSA, MA

机构：

[1] Dipartimento di Matematica, Università di Catania, Catania 95125, V. A. Doria

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1993年 / 112卷 / 02期

关键词：

D O I：

10.1006/jfan.1993.1032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let us consider the nondivergence form elliptic equation aijux = f(hook) In this paper we show that if the known term f(hook) belongs to the Morrey space Lp, λ then the second derivatives of the W2, p-solution u belong to the same space. Next we derive a C1, αloc-regularity result that is related to a recent work by Caffarelli. © 1993 Academic Press Inc.

引用

页码：241 / 256

页数：16

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