On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case
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Publication:5136064
DOI10.13108/2016-8-2-65zbMath1463.35396OpenAlexW2588132054MaRDI QIDQ5136064
Publication date: 25 November 2020
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/ufa346
Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20)
Related Items (2)
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
Cites Work
- Norm-resolvent convergence for elliptic operators in domain with perforation along curve
- On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition
- On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity
- Boundary homogenization for elliptic problems
- The asymptotic expansion of the solution of a boundary-value problem with rapidly alternating type of boundary conditions
- Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary
- Homogenization and asymptotics for a membrane with closely spaced clamping points
- On the spectrum of the Laplacian with frequently alternating boundary conditions
- On the averaging of solutions of a second order elliptic equation with nonperiodic rapidly changing boundary conditions
- Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows
- Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics
- Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
- Homogenization of the planar waveguide with frequently alternating boundary conditions
- Asymptotic behaviour of an elastic body with a surface having small stuck regions
- AVERAGING OF BOUNDARY VALUE PROBLEMS WITH A SINGULAR PERTURBATION OF THE BOUNDARY CONDITIONS
- Effective permeability of the boundary of a domain
- Boundary-value problem in a cylinder with frequently changing type of boundary
- Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
- Averaging in a perforated domain with an oscillating third boundary condition
- Homogenization of a mixed boundary-value problem for the Laplace operator in the case of an insoluble 'limit' problem
- On the resolvent of multidimensional operators with frequently changing boundary conditions in the case of the homogenized Dirichlet condition
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