Complex boundary value problems in a lens
Volume 129 / 2022
Annales Polonici Mathematici 129 (2022), 203-217
MSC: Primary 31A10; Secondary 30E25, 45E05, 35F15, 35J25.
DOI: 10.4064/ap220416-21-7
Published online: 24 October 2022
Abstract
We apply the parqueting-reflection principle to solve the Dirichlet and Neumann boundary value problems for both the Cauchy–Riemann and Poisson equations on a lens. The Green and Neumann functions for the lens are constructed, and then the solvability of the Dirichlet and Neumann problems for the Poisson equation is proved.
