Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows
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Publication:2016962
DOI10.1007/s10958-011-0435-2zbMath1290.81038OpenAlexW2052176378MaRDI QIDQ2016962
Renata Bunoiu, Giuseppe Cardone, Denis I. Borisov
Publication date: 24 June 2014
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-011-0435-2
Related Items (14)
On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition ⋮ Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics ⋮ The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes ⋮ Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc ⋮ Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics ⋮ Uniform resolvent convergence for strip with fast oscillating boundary ⋮ On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case ⋮ Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model ⋮ Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition ⋮ Absence of gaps in a lower part of the spectrum of a Laplacian with frequent alternation of boundary conditions in a strip ⋮ Homogenization of nonlinear equations with mixed boundary conditions ⋮ Planar waveguide with “twisted” boundary conditions: Discrete spectrum ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions
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