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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2008 Volume 14, Number 1, Pages 98–111 (Mi timm10)

This article is cited in 1 paper

On the Structure of asymptotics of the solution of a second-order elliptic equation in a neighborhood of an angular point

E. F. Lelikova


Abstract: The behavior of solutions of elliptic equations in neighborhoods of angular and conical boundary points has been well studied; the asymptotics of these solutions has been constructed. In the present paper, we propose a new approach to constructing asymptotic decompositions in a neighborhood of an angular boundary point, which allows us to describe the structure of these asymptotics in a relatively simple and illustrative way.

UDC: 517.956.8

Received: 19.10.2007


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, 261, suppl. 1, S138–S153

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