Why bootstrapping for J-holomorphic curves fails in Ck

被引：0

作者：

Geiges, Hansjoerg ^{[1
]}

Saglam, Murat ^{[1
]}

Zehmisch, Kai ^{[2
]}

机构：

[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

[2] Ruhr Univ Bochum, Fak Math, Univ Str 150, D-44780 Bochum, Germany

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2023年 / 13卷 / 01期

关键词：

Elliptic bootstrapping; Calderon-Zygmund estimate; (partial derivative)over-bar-operator; Pseudoholomorphic curve;

D O I：

10.1007/s13324-022-00775-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a simple example for the failure of the Calderon-Zygmund estimate for the (partial derivative) over bar -operator when the Sobolev (k, p)-norms are replaced by the C-k-norms. This example is discussed in the context of elliptic bootstrapping, Fredholm theory, and the regularity of J-holomorphic curves.

引用

页数：11

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