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math.AP2010★ 15 cited
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
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 ps…
math.AP2006★ 28 cited
On a factorization of second order elliptic operators and applications
Vladislav V. Kravchenko
We show that given a nonvanishing particular solution of the equation (divpgrad+q)u=0 (1) the corresponding differential operator can be factorized into a product of two first orde…