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STUDIA MATHEMATICA - Issue no. 2 / 2010 | |||||||
Article: |
ON THE REGULARITY OF SOLUTIONS OF A BOUNDARY VALUE PROBLEM USING DECOMPOSITION AND LOCALIZATION TECHNIQUES IN A CORNER. Authors: . |
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Abstract: The subject of this work is the study of the singular behaviour of solutions for the Lamé system with Dirichlet, mixed and Neumann conditions in a bounded domain. A technique of localization of the problem in a corner is presented. The method is an adaptation of that of Kondratiev [8] extended to the weighted Sobolev spaces. This method have been considered by many authors. Key words and phrases. Corner, decomposition, eigenvalue, elasticity system, localization, singular functions, weighted Sobolev space. |
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