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

共 50 条

[41] G(K+A)-ESTIMATES FOR THE (PARTIAL-DERIVATIVE)OVER-BAR-EQUATION ON THE HARTOGS TRIANGLE
MA, L
MICHEL, J
MATHEMATISCHE ANNALEN, 1992, 294 (04) : 661 - 675
[42] HOLDER ESTIMATES FOR LOCAL SOLUTIONS FOR (PARTIAL-DERIVATIVE) OVER-BAR ON A CLASS OF NONPSEUDOCONVEX DOMAINS
HO, LH
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (02) : 593 - 607
[43] On the canonical solution of (partial derivative) over bar on polydisks
Jin, Muzhi
Yuan, Yuan
COMPTES RENDUS MATHEMATIQUE, 2020, 358 (05) : 523 - 528
[44] Nonlinear integrable systems via general local NxN matrix (delta)over-bar-problem
Shchesnovich, VS
INVERSE PROBLEMS, 1996, 12 (01) : L1 - L7
[45] Essential Norm Estimates for the (partial derivative)over-bar-Neumann Operator on Convex Domains and Worm Domains
Cuckovic, Zeljko
Sahutoglu, Sonmez
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2018, 67 (01) : 267 - 292
[46] Functions with unbounded (partial derivative)over-bar-derivative and their boundary functions
Chen, ZG
Chen, JX
He, CQ
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1997, 63 : 100 - 109
[47] Positivity of the (partial derivative)over-bar-Neumann Laplacian
Fu, Siqi
COMPLEX ANALYSIS: SEVERAL COMPLEX VARIABLES AND CONNECTIONS WITH PDE THEORY AND GEOMETRY, 2010, : 145 - 158
[48] The Diederich-Fornæss Index and the Regularities on the (partial derivative)over-bar -Neumann Problem
Liu, Bingyuan
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2022, 71 (04) : 1371 - 1395
[49] Solvability of the (partial derivative)over-bar problem with C∞ regularity up to the boundary on wedges of CN
Zampieri, G
ISRAEL JOURNAL OF MATHEMATICS, 2000, 115 : 321 - 331
[50] over bar SHARP POINTWISE AND UNIFORM ESTIMATES FOR partial differential
Dong, Robert xin
LI, Song -y ing
Treuer, Johnn.
ANALYSIS & PDE, 2023, 16 (02): : 407 - 431

← 1 2 3 4 5 →