On First and Second Order Planar Elliptic Equations with Degeneracies (Memoirs of the American Mathematical Society) 〈Vol. 217, No. 1019〉

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On First and Second Order Planar Elliptic Equations with Degeneracies (Memoirs of the American Mathematical Society) 〈Vol. 217, No. 1019〉

Meziani, Abdelhamid

American Mathematical Soc（2012/04発売）

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ページ数 77 p.
商品コード 9780821853122

Full 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.