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.
Citation:
E. F. Lelikova, “On the Structure of asymptotics of the solution of a second-order elliptic equation in a neighborhood of an angular point”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 1, 2008, 98–111; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S138–S153
\Bibitem{Lel08}
\by E.~F.~Lelikova
\paper On the Structure of asymptotics of the solution of a~second-order elliptic equation in a~neighborhood of an angular point
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2008
\vol 14
\issue 1
\pages 98--111
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\elib{https://elibrary.ru/item.asp?id=11929808}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2008
\vol 261
\issue , suppl. 1
\pages S138--S153
\crossref{https://doi.org/10.1134/S0081543808050131}
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https://www.mathnet.ru/eng/timm10
https://www.mathnet.ru/eng/timm/v14/i1/p98
This publication is cited in the following 1 articles:
E. F. Lelikova, “The asymptotics of the solution of an equation with a small parameter in a domain with angular points”, Sb. Math., 201:10 (2010), 1495–1510
Citation in format AMSBIB
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