The Robin problems on domains with many tiny holes

DOI10.3792/pjaa.61.39zbMath0587.35021OpenAlexW2008915444MaRDI QIDQ1071999

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.61.39

zbMATH Keywords

Robin problemextended solution

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

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 ⋮ From Steklov to Neumann via homogenisation ⋮ A monotone boundary condition for a domain with many tiny spherical holds ⋮ Upper semicontinuity of eigenvalues of selfadjoint operators defined on moving domains

Cites Work

• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
• Unnamed Item

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