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
Département de Mathématiques, Centre Universitaire de Jijel, Ouled Aissa, BP 98, Jijel 18000, Algeria
Received 13 April 2001
Copyright © 2003 Wided Chikouche and Aissa Aibèche. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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=∑α∈ECα rα ϕα, and the functions ϕα are solutions of an auxiliary problem obtained by the separation of
variables.