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

Tran Dien Hien

Commentat. Math. Univ. Carol. 25, 459-471 (1984).

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

MSC:

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)

Keywords:

air pollution; Dirichlet problem; Dirac distribution; existence; uniqueness; regularity