Construction and use of reproducing kernels for boundary and eigenvalue problems in the plane using pseudoanalytic function theory

Hugo M. Campos, Raul Castillo Perez, Vladislav V. Kravchenko

Producción científica: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

2 Citas (Scopus)

Resumen

We show how the Bergman-type reproducing kernels for the elliptic operator D= div p grad + q with variable coefficients defined in a bounded domain in the plane can be constructed using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q and with the aid of pseudoanalytic function theory a complete system of null solutions of the operator can be obtained following a simple algorithm consisting in recursive integration. Then the complete system of solutions is used for constructing the corresponding reproducing kernel. We study theoretical and numerical aspects of the method.

Idioma originalInglés
Título de la publicación alojada2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10 - Conference Proceedings
DOI
EstadoPublicada - 2010
Evento2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10 - Kyiv, Ucrania
Duración: 6 sep. 20108 sep. 2010

Serie de la publicación

NombreMathematical Methods in Electromagnetic Theory, MMET, Conference Proceedings

Conferencia

Conferencia2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10
País/TerritorioUcrania
CiudadKyiv
Período6/09/108/09/10

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