On the spectrum of the Laplacian with frequently alternating boundary conditions

DOI10.1007/BF02557321zbMath0945.35066MaRDI QIDQ1567785

Rustem R. Gadyl'shin, Denis I. Borisov

Publication date: 9 October 2000

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

zbMATH Keywords

asymptotic expansionstwo-dimensional

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition ⋮ On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries ⋮ Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions ⋮ On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case ⋮ Estimate of the spectrum deviation of the singularly perturbed Steklov problem

Cites Work

• AVERAGING OF BOUNDARY VALUE PROBLEMS WITH A SINGULAR PERTURBATION OF THE BOUNDARY CONDITIONS
• Effective permeability of the boundary of a domain

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