Norm-resolvent convergence for elliptic operators in domain with perforation along curve
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Publication:466178
DOI10.1016/j.crma.2014.07.003zbMath1304.35058OpenAlexW2050846262MaRDI QIDQ466178
Giuseppe Cardone, Tiziana Durante, Denis I. Borisov
Publication date: 24 October 2014
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2014.07.003
Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (3)
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 ⋮ Absence of gaps in a lower part of the spectrum of a Laplacian with frequent alternation of boundary conditions in a strip
Cites Work
- Convergence rates in \(L ^{2}\) for elliptic homogenization problems
- Some estimates from homogenized elasticity problems
- Non-homogeneous media and vibration theory
- Interior error estimate for periodic homogenization
- Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics
- Uniform resolvent convergence for strip with fast oscillating boundary
- Homogenization of the planar waveguide with frequently alternating boundary conditions
- On boundary-value problems in domains perforated along manifolds
- Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
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