The Dirichlet problem in the dispersion of gas exhalations over a wet hilly surface. (English) Zbl 0558.35024

In order to describe the air pollution over a wet hilly surface, the author considers a related Dirichlet problem for a linear second order elliptic equation with the righthand side given by a Dirac distribution. He gives the definition of a ”very weak” solution and proves the existence, uniqueness, and regularity properties of such solutions.
Reviewer: W.-Y.Ding


35J25 Boundary value problems for second-order elliptic equations
86A10 Meteorology and atmospheric physics
35D05 Existence of generalized solutions of PDE (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
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