Polygonal interface problems:higher regularity results |
| |
| Authors: | Serge Nicaise |
| |
| Institution: | Université des sciences et Techiniques de Lille Flanders Artois , U.R.A. C.N.R.S 751, U.F.R. de Mathematiques Pures et Appliquks, Villeneuve d′ascq Cedex, F-59655, France |
| |
| Abstract: | We continue the study of boundary value problems on two–ndimensional polygona; topological networks, extensions of oblique derivative problems and of interface problems in a polygonal domain of the plane. The aim of this paper is firstly, to deal with non variational problems, secondly, to show that a weak solution may be dplit into a regular part and a singular part and thridly, to give the extract formula for the coeffcients of the singularities. |
| |
| Keywords: | boundary value problems non-smooth domains singularities smoothness of solutions |
|
|
