Asymptotic Solution of the Perturbed First Boundary Value Problem with a Non-Smooth Coefficient

DOI10.14529/MMPH200306zbMath1458.35150OpenAlexW3046516076MaRDI QIDQ5144153

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Publication date: 15 January 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm456

zbMATH Keywords

asymptoticssmall parameterLaplace operatorbisingular problemDirichlet problem for a ring

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Recent progresses in boundary layer theory
• ASYMPTOTICS OF THE SOLUTION TO THE BISINGULAR PERTURBED DIRICHLET PROBLEM IN THE RING WITH QUADRATIC GROWTH ON THE BOUNDARY
• Asymptotic expansions of solutions to Dirichlet problem for elliptic equation with singularities

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