Author(s): Boubaker-Khaled Sadallah
Article publication date: 1986-12-01
Vol. 4 No. 2 (yearly), pp. 563-571.
165
Keywords
heat, cylindrical, ellipses
Abstract
It is well known that the heat operator is an isomorphism from a certain Sobolev space onto the space of square integrable functions, as long as the domain of these functions is smooth (cylindrical). We prove that the same result remains true when the domain is any convex polyhedron. The proof uses the elliptic regularization method and some results of Sadallah (1976)