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Iterated Dirichlet problem for the higher order Poisson equation. (English) Zbl 1193.31002

The authors using the polyharmonic Green function solve an “iterated” Dirichlet problem for higher-order Poisson equation for the case of the complex plane and in the main in the unit disk.

MSC:

31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
31A25 Boundary value and inverse problems for harmonic functions in two dimensions
31A10 Integral representations, integral operators, integral equations methods in two dimensions
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