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.
| ISBN: | 9780821853122 |
| Publication date: | 30th May 2012 |
| Author: | Abdelhamid Meziani |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 77 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Differential calculus and equations |