BEHAVIOR OF THE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM IN A POLYGONAL OR POLYHEDRAL DOMAIN

摘要: Summary The aim of this talk is to describe the main results about regularity (as well as singularities) solutions an elliptic boundary value problem in domains with a non smooth boundary. Up now, concerning general problems, are available only if domain two-dimensional, mainly polygonal On contrary few known higher dimension when presents singularities more complicated than conical points. For instance for edges but no vertices, problems operator second order have been investigated. I will give brief survey recent on subject precise bibliographical references together some new contributions study three dimensional polyhedron. Except material presented without proofs. topics mentioned above closely related mixed equation and interface conditions (conjugacy problems). these mention briefly which similar those our subject, references.