On the resolvent of multidimensional operators with frequently changing boundary conditions in the case of the homogenized Dirichlet condition
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Publication:5175192
DOI10.1070/SM2014v205n10ABEH004427zbMath1314.35034MaRDI QIDQ5175192
Publication date: 20 February 2015
Published in: Sbornik: Mathematics (Search for Journal in Brave)
homogenizationasymptotic behaviourmixed problemelliptic equationperturbed operatoruniform resolvent convergencefrequent change
Related Items (7)
On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition ⋮ Operator estimates in two-dimensional problems with a frequent alternation in the case of small parts with the Dirichlet condition ⋮ Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions ⋮ On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case ⋮ Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system ⋮ 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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