Exact sequences and estimates for the (partial derivative)over-bar-problem

被引：0

作者：

Chakrabarti, Debraj ^{[1
]}

Harrington, Phillip S. ^{[2
]}

机构：

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

[2] 1 Univ Arkansas, SCEN 309, Fayetteville, AR 72701 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 299卷 / 3-4期

关键词：

PARTIAL-DIFFERENTIAL-EQUATION; DERIVATIVE-NEUMANN PROBLEM; SERRE DUALITY; REGULARITY; COMPLEX;

D O I：

10.1007/s00209-021-02750-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Sobolev estimates for solutions of the inhomogenous Cauchy-Riemann equations on annuli in C-n, by constructing exact sequences relating the Dolbeault cohomology of the annulus with respect to Sobolev spaces of forms with those of the envelope and the hole. We also obtain solutions with prescribed support and estimates in Sobolev spaces using our method.

引用

页码：1837 / 1873

页数：37

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