✦ LIBER ✦

Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators

✍ Scribed by Vladislav V. Kravchenko; Sébastien Tremblay

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 176 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1500

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by Klaus Guerlebeck

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.

📜 SIMILAR VOLUMES

Solution of boundary and eigenvalue prob

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

✍ Raúl Castillo Pérez; Vladislav V. Kravchenko; Rabindranath Reséndiz Vázquez 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 262 KB

## Communicated by G. Franssens We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D = div p grad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q w