On the Singular Behavior of Solutions of a Transmission Problem in a Dihedral

  • M. Dilmi, Ferhat –Abbas
  • Published 2010

Abstract

In this paper, we study the singular behavior of solutions of a boundary value problem with mixed conditions in a neighborhood of an edge. The considered problem is defined in a nonhomogeneous body of R, this is done in the general framework of weighted Sobolev spaces. Using the results of Benseridi-Dilmi, Grisvard and Aksentian, we show that the study of solutions’ singularities in the spatial case becomes a study of two problems: a problem of plane deformation and the other is of normal plane deformation.

Extracted Key Phrases

Cite this paper

@inproceedings{Dilmi2010OnTS, title={On the Singular Behavior of Solutions of a Transmission Problem in a Dihedral}, author={M. Dilmi and Ferhat –Abbas}, year={2010} }