โ Scribed by G.K. Berikelashvili
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The solution of the Dirichlet problem relative to an elliptic operator in a polyhedron has a complex singular behaviour near edges and vertices. Here we show that this solution and its conormal derivative have a global regularity in appropriate weighted Sobolev spaces. We also investiga
It is pointed out that the solution to the electrostatic problem of an isolated conducting ellipsoid is a far-field approximation. To show this conclusion, several existing methods are discussed. Some basic problems, such as singular field distribution, are then commented upon. 0 I996
## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ โ R^n^, the Laplacian is defined by ฮ = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _