Boundary value problems in upper half plane. (English) Zbl 1166.30021
Summary: Explicit representations for the solution of higher order equations are obtained for Dirichlet boundary conditions and Schwarz boundary conditions in the upper half plane. We also investigate a mixed boundary value problem for the inhomogeneous polyanalytic equation.
MSC:
| 30E25 | Boundary value problems in the complex plane |
Keywords:
Schwarz boundary condition; Dirichlet problem; Cauchy-Pompeiu representation; Gauss theoremReferences:
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