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A type of uniqueness of solutions for the Dirichlet problem on a cylinder

A type of uniqueness of solutions for the Dirichlet problem on a cylinder

The aim of this paper is to prove a type of uniqueness for the Dirichlet problem on a cylinder the special case of which is a strip in the plane.By defining generalized Poisson integrals with certain continuous functions on the boundary of a cylinder, we shall investigate the difference between …