On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions

Nicolae Jitaraşu

Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova

Abstract: In the work the asymptotic representation of singular solution of the elliptic model Sobolev problem near components of arbitrary dimensions of boundary is specified. Using this asymptotical representation of solutions, the singular boundary conditions are formulated. The solvability of boundary problem with singular boundary conditions is proved.

Keywords and phrases: Sobolev boundary problem, asymptotic representation of singular solutions, singular boundary conditions.

MSC: 35I40, 35B45, 35C20

Received: 11.11.2011

Language: English

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