On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition

DOI10.1007/s10958-016-2720-6zbMath1346.35054OpenAlexW2303526954MaRDI QIDQ291240

T. F. Sharapov, Denis I. Borisov

Publication date: 7 June 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-016-2720-6

zbMATH Keywords

homogenizationasymptotic expansionsfrequently alternating boundary conditionsresolvent convergence

Mathematics Subject Classification ID

Second-order elliptic systems (35J47)

Related Items (4)

Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition ⋮ Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions

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