On First and Second Order Planar Elliptic Equations with Degeneracies
Analysis of PDEs
2009-10-06 v1 Complex Variables
Abstract
This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series representations. An application to a second order elliptic equation with a punctual singularity is given.
Keywords
Cite
@article{arxiv.0910.0539,
title = {On First and Second Order Planar Elliptic Equations with Degeneracies},
author = {Abdelhamid Meziani},
journal= {arXiv preprint arXiv:0910.0539},
year = {2009}
}
Comments
74 pages