On First and Second Order Planar Elliptic Equations with Degeneracies

(Memoirs of the American Mathematical Society)

5c00f7f7b3adb.jpg Author Abdelhamid Meziani
Isbn 9780821853122
File size 645.30KB
Year 2012
Pages 77
Language English
File format PDF
Category Mathematics

Book Description:

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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