Interior estimates for solutions of linear elliptic inequalities

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2021-01-01 DOI:10.1070/IM8989

Vladimir Stepanovich Klimov

引用次数: 2

Abstract

We study the wedge of solutions of the inequality , where is a linear elliptic operator of order acting on functions of variables. We establish interior estimates of the form for the elements of this wedge, where is a compact subdomain of , is the Sobolev space, , is the Lebesgue space of integrable functions, and the constant is independent of .

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线性椭圆不等式解的内估计

我们研究了不等式解的楔形，其中是作用于变量函数的阶线性椭圆算子。我们建立了楔形元素形式的内部估计，其中是的紧子域，是Sobolev空间，是Lebesgue可积函数空间，常数是独立的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.