Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators
Complex Variables
2013-07-03 v2
Abstract
Biquaternionic Vekua-type equations arising from the factorization of linear second order elliptic operators are studied. Some concepts from classical pseudoanalytic function theory are generalized onto the considered spatial case. The derivative and antiderivative of a spatial pseudoanalytic function are introduced and their applications to the second order elliptic equations are considered.
Keywords
Cite
@article{arxiv.1006.1841,
title = {Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators},
author = {Vladislav V. Kravchenko and Sébastien Tremblay},
journal= {arXiv preprint arXiv:1006.1841},
year = {2013}
}
Comments
17 pages