abstract 59

Bulletin of Computational Applied Mathematics (Bull CompAMa)

59

A fundamental solution for the Laplace operator in a doubly connected domain

Jose Luis Vergara Ibarra, Carmen Judith Vanegas


In this work, we find a harmonic Green function for a doubly connected domain using the theory of conformal mappings and then we define a Poisson kernel. Using these functions an integral representation formula for the solution of the Dirichlet problem for the Poisson equation is derived.


Keywords: Harmonic Green functions; multiply connected domain; conformal invariance.


Cite this paper:

Vergara Ibarra J.L., Vanegas C.J.

A fundamental solution for the Laplace operator in a doubly connected domain

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 9, No.1 pp.85-96, 2021.