Effective potential and fluctuations for a boundary value problem on a randomly perforated domain

DOI10.1007/BF00420239zbMath0789.35043MaRDI QIDQ1803242

Rodolfo Figari, Alessandro Teta

Publication date: 29 June 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Laplace equationboundary value problem of mixed typelimit equation\(n\) randomly distributed obstacles of linear size \(n^{-1}\)randomly perforated domain

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii potentials

Cites Work

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• The Laplacian in regions with many small obstacles: Fluctuations around the limit operator
• Scattering length and capacity
• Potential techniques for boundary value problems on \(C^1\)-domains
• A law of large numbers and a central limit theorem for the Schrödinger operator with zero-range potentials.
• Asymptotic analysis of two elliptic equations with oscillating terms

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