International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 5, Pages 305-313
doi:10.1155/S016117120301278X

Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack

Wided Chikouche and Aissa Aibèche

Département de Mathématiques, Centre Universitaire de Jijel, Ouled Aissa, BP 98, Jijel 18000, Algeria

Abstract

This paper concerns the biharmonic problem of Neumann type in a sector V. We give a representation of the solution u of the problem in a form of a series u=αECαrαϕα, and the functions ϕα are solutions of an auxiliary problem obtained by the separation of variables.