Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions

DOI10.1007/s10958-023-06893-1OpenAlexW4390272047MaRDI QIDQ6150356

Denis I. Borisov

Publication date: 6 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06893-1

zbMATH Keywords

eigenvalueasymptotic expansionLaplace operatorboundary-value problemmultiscale methodeigenfunctionboundary layer methodfrequently alternating boundary conditionsmethod of compatibility of asymptotic expansions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

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