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.
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Original Russian Text © E.F. Lelikova, 2008, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Vol. 14, No. 1.
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Lelikova, E.F. On the Structure of asymptotics of the solution of a second-order elliptic equation in a neighborhood of an angular point. Proc. Steklov Inst. Math. 261 (Suppl 1), 138–153 (2008). https://doi.org/10.1134/S0081543808050131
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DOI: https://doi.org/10.1134/S0081543808050131