Elliptic Operators and Boundary-Value Problems in Spaces of Generalized Smoothness

被引：0

作者：

Mikhailets, Vladimir ^{[1
]}

Murach, Aleksandr ^{[1
]}

Chepurukhina, Iryna ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kyiv, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2025年 / 76卷 / 09期

关键词：

SOBOLEV SCALE; CONTINUITY ENVELOPES; HORMANDER SPACES; REFINED SCALE; HIGHER ORDERS; INTERPOLATION; EQUATIONS; PARAMETER; SYSTEMS; BESOV;

D O I：

10.1007/s11253-025-02403-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a survey of the results obtained for the last ten years in the theory of elliptic boundary-value problems in the Hormander function spaces developed by the authors, and other related results of modern analysis. The foundations of this theory and some of its applications were systematically presented in the monograph by the first two authors of the survey Hormander Spaces, Interpolation, and Elliptic Problems (De Gruyter, Berlin/Boston, 2014).

引用

页码：1503 / 1536

页数：34

共 162 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].