On First and Second Order Planar Elliptic Equations with Degeneracies
Author | : Abdelhamid Meziani |
Publisher | : |
Total Pages | : 77 |
Release | : 2011 |
ISBN-10 | : 0821887505 |
ISBN-13 | : 9780821887509 |
Rating | : 4/5 (509 Downloads) |
Download or read book On First and Second Order Planar Elliptic Equations with Degeneracies written by Abdelhamid Meziani and published by . This book was released on 2011 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.