Nonlinear Singular Integral Equations Involving the Hilbert Transform in Clifford Analysis

被引：0

作者：

Bernstein, S. ^{[1
,2
]}

机构：

[1] Univ Min & Technol, Inst Appl Math, D-09596 Freiberg, Germany

[2] Univ Arkansas, Fayetteville, AR 72701 USA

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 02期

关键词：

Clifford analysis; Cauchy-type integrals; nonlinear integro-differential equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply operator-theoretical methods for monotone and maximal monotone operators to prove the existence of solutions for nonlinear singular integral and integro-differential equations involving the Hilbert transform in the Clifford algebra Cl-n,Cl-0. Properties of the Hilbert transform are proved using Clifford analysis. We generalize well-known results concerning the complex Hilbert transform and the singular Cauchy integral operator to higher dimensions.

引用

页码：379 / 391

页数：13

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