Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators
arXiv:1006.1841 · doi:10.1002/mma.1500
Abstract
Biquaternionic Vekua-type equations arising from the factorization of linear second order elliptic operators are studied. Some concepts from classical pseudoanalytic function theory are generalized onto the considered spatial case. The derivative and antiderivative of a spatial pseudoanalytic function are introduced and their applications to the second order elliptic equations are considered.
17 pages
References in corpus (3)
- On a relation of pseudoanalytic function theory to the two-dimensional stationary Schroedinger equation and Taylor series in formal powers for its solutions
- On a factorization of second order elliptic operators and applications
- On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory