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    STUDIA MATHEMATICA - Issue no. 1 / 2010  
         
  Article:   SINGULARITY OF A BOUNDARY VALUE PROBLEM OF THE ELASTICITY EQUATIONS IN A POLYHEDRON.

Authors:  BENABDERRAHMANE BENYATTOU.
 
       
         
  Abstract:  In this work we study the regularity of a boundary value problem governed by the Lamé equations in a cylindrical domain. By studying the longitudinal displacement singularity along an edge and the perpendicular displacement singularity to the same edge, we arrive to describe the behavior singular of solutions of the Lamé equations in a polyhedron.

Key words and phrases. Edge, Fourier transform, Lamé System, singular behavior, singular function, transcendent equation.
 
         
     
         
         
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