Boundary value problems to second order complex partial differential equations in a ring domain

Author:

VAITEKHOVICH Tatyana

AMS Classification:

30E25, 31A10, 31A30, 35J25

Keywords:

Bitsadze equation, Bergman function, circular ring domain, Dirichlet, Green, Neumann, Poisson, Schwarz boundary value problem

Abstract:

The Green, Neumann, Poisson and Bergman kernel functions are obtained for a circular ring domain. The Dirichlet and Neumann problem for the Poisson equation, and the Dirichlet and Schwarz problem for the inhomogeneous Bitsadze equation are solved. All formulas are given in explicit form.

Download paper:

Vaitekhovich-07-pdf.pdf

Vol. 2 (10), 2007