Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations

被引：1

作者：

Barton, Ariel ^{[1
]}

Hofmann, Steve ^{[2
]}

Mayboroda, Svitlana ^{[3
]}

机构：

[1] Univ Arkansas, Dept Math Sci, 309 SCEN, Fayetteville, AR 72701 USA

[2] Univ Missouri, Dept Math, 202 Math Sci Bldg, Columbia, MO 65211 USA

[3] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 23期

基金：

美国国家科学基金会;

关键词：

BOUNDARY-VALUE-PROBLEMS; P DIRICHLET PROBLEM; SQUARE-ROOT PROBLEM; BIHARMONIC EQUATION; LIPSCHITZ; OPERATORS; SYSTEMS; REGULARITY; SPACES; SOLVABILITY;

D O I：

10.1093/imrn/rnaa051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We solve the Neumann problem, with nontangential estimates, for higher-order divergence form elliptic operators with variable t-independent coefficients. Our results are accompanied by nontangential estimates on higher-order layer potentials.

引用

页码：18300 / 18366

页数：67

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