H. Begehr

Boundary Value Problems for the Bitsadze Equation

abstract:
The Schwarz, Dirichlet, Neumann and some related boundary value problems are explicitly solved for the Bitsadze equation in the unit disc of the complex plane. The results are obtained from iterations of related results for the inhomogeneous Cauchy-Riemann equation. Some generalizations for the inhomogeneous polyanalytic equation are indicated.

Mathematics Subject Classification: 35J25, 35C15, 30E25

Key words and phrases: Schwarz, Dirichlet, Neumann boundary value problems, Bitsadze equation, inhomogeneous polyanalytic equation