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

@inproceedings{Prez2010SolutionOB, title={Solution of boundary value and eigenvalue problems for second order elliptic operators in the plane using pseudoanalytic formal powers}, author={Ra{\'u}l Castillo P{\'e}rez and Vladislav V. Kravchenko and Rabindranath Resendiz Vazquez}, year={2010} }

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… CONTINUE READING

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