Homogenization of the boundary value problem in a domain perforated along a part of the boundary

DOI10.1007/s10958-014-1820-4zbMath1311.35015OpenAlexW1985109594MaRDI QIDQ467584

D. V. Kozhevnikov, Rustem R. Gadyl'shin

Publication date: 3 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1820-4

zbMATH Keywords

homogeneous Neumann conditionhomogeneous Dirichlet condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

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Cites Work

• Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue
• On the convergence of solutions and eigenelements of a boundary value problem in a domain perforated along the boundary
• On the eigenvalue of the Laplacian in a domain perforated along the boundary
• On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary
• Homogenization in domains randomly perforated along the boundary
• The thick Neumann's sieve
• Perturbation theory for linear operators.
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• AVERAGING OF BOUNDARY VALUE PROBLEMS WITH A SINGULAR PERTURBATION OF THE BOUNDARY CONDITIONS
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