Monotonicity principles for singular integral equations in Clifford analysis
Complex Variables
2007-05-23 v1
Abstract
Monotonicity principles can be used to get informations about nonlinear singular integral equations. These results are based on a theorem of Browder and Minty. We consider a family of monotone singular integral operators and associated nonlinear singular integral equations with Nemickii operator in Clifford analysis which has an application to the nonlinear magnetic field equation in the 3-dimensional Euclidean space.
Cite
@article{arxiv.math/9805050,
title = {Monotonicity principles for singular integral equations in Clifford analysis},
author = {Swanhild Bernstein},
journal= {arXiv preprint arXiv:math/9805050},
year = {2007}
}
Comments
Latex, 14 pages