Asymptotics of the solution of Laplace’s equation with third-type boundary conditions on the boundaries of two small holes

DOI10.1134/S0965542513110043zbMath1313.35071OpenAlexW2070913546MaRDI QIDQ2940397

E. Yu. Postnikova, S. R. Garifullina

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.maik.ru/cgi-perl/search.pl?type=abstract&name=commat&number=11&year=13&page=1591

zbMATH Keywords

asymptotic expansionsmall parameterLaplace equationasymptotic consistency method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• A BOUNDARY VALUE PROBLEM FOR THE SECOND ORDER ELLIPTIC EQUATION IN A DOMAIN WITH A NARROW SLIT. 2. DOMAIN WITH A SMALL CAVITY

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