Article ID Journal Published Year Pages File Type
4614411 Journal of Mathematical Analysis and Applications 2016 22 Pages PDF
Abstract

In this paper the Dirichlet problem for a class of standard weighted Laplace operators in the upper half plane is solved by means of a counterpart of the classical Poisson integral formula. Boundary limits and representations of the associated solutions are studied within a framework of weighted spaces of distributions. Special attention is given to the development of a suitable uniqueness theory for the Dirichlet problem under appropriate growth constraints at infinity.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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