Nonlinear A-Dirac Equations

被引：0
作者：
Craig A. Nolder
机构：
[1] Florida State University,Department of Mathematics
来源：
Advances in Applied Clifford Algebras | 2011年 / 21卷
关键词：
Nonlinear Dirac equations; Caccioppoli estimate; global integrability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is a study of solutions to nonlinear Dirac equations, in domains in Euclidean space, which are generalizations of the Clifford Laplacian as well as elliptic equations in divergence form. A Caccioppoli estimate is used to prove a global integrability theorem for the image of a solution under the Euclidean Dirac operator. Oscillation spaces for Clifford valued functions are used which generalize the usual spaces of bounded mean oscillation, local Lipschitz continuity or local order of growth of real-valued functions.
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页码：429 / 440
页数：11
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