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arXiv · 1002.1110

Solution of boundary value and eigenvalue problems for second order elliptic operators in the plane using pseudoanalytic formal powers

Raul Castillo Perez·Vladislav V. Kravchenko·Rabindranath Resendiz Vazquez
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Abstract

We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D=divpgrad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q with the aid of pseudoanalytic function theory a complete system of null solutions of the operator can be constructed following a simple algorithm consisting in recursive integration. This system of solutions is used for solving boundary value and spectral problems for the operator D in bounded simply connected domains. We study theoretical and numerical aspects of the method.

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Raul Castillo Perez, Vladislav V. Kravchenko, Rabindranath Resendiz Vazquez. 2010-02-05. Solution of boundary value and eigenvalue problems for second order elliptic operators in the plane using pseudoanalytic formal powers. https://arxiv.org/abs/1002.1110

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