Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614411 | Journal of Mathematical Analysis and Applications | 2016 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marcus Carlsson, Jens Wittsten,