A monotone boundary condition for a domain with many tiny spherical holds

DOI10.3792/pjaa.61.140zbMath0577.35042OpenAlexW1997375159MaRDI QIDQ1066008

Satoshi Kaizu

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.140

zbMATH Keywords

behaviorlimitmonotone boundary conditionsdomain with many holes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (3)

An average effect of many tiny holes in nonlinear boundary value problems with monotone boundary conditions ⋮ Behavior of solutions of the Poisson equation under fragmentation of the boundary of the domain ⋮ Operator estimates for homogenization of the Robin Laplacian in a perforated domain

Cites Work

• On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles
• The Robin problems on domains with many tiny holes
• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
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