On First and Second Order Planar Elliptic Equations with Degeneracies

On First and Second Order Planar Elliptic Equations with Degeneracies
Author :
Publisher : American Mathematical Soc.
Total Pages : 90
Release :
ISBN-10 : 9780821853122
ISBN-13 : 0821853120
Rating : 4/5 (120 Downloads)

Book Synopsis On First and Second Order Planar Elliptic Equations with Degeneracies by : Abdelhamid Meziani

Download or read book On First and Second Order Planar Elliptic Equations with Degeneracies written by Abdelhamid Meziani and published by American Mathematical Soc.. This book was released on 2012 with total page 90 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.


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