Operator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions

DOI10.1134/S0001434622030051MaRDI QIDQ2133816

Luis O. Silva, Alexander V. Kiselev, Kirill D. Cherednichenko

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13318

zbMATH Keywords

boundary value problemsspectrumtransmission problemsextensions of symmetric operatorsgeneralized boundary triples

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) General theory of linear operators (47Axx)

Cites Work

• Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
• Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Functional model for extensions of symmetric operators and applications to scattering theory
• Spectral duality for planar billiards
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• On spectrum gaps of some divergent elliptic operators with periodic coefficients
• Boundary triplets and M -functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
• Dilation theory and spectral analysis of nonselfadjoint differential operators
• Genericity of Simple Eigenvalues for Elliptic PDE's
• Spectral properties of periodic media in the large coupling limit
• On an extension of the method of two-scale convergence and its applications
• Time-Dispersive Behavior as a Feature of Critical-Contrast Media
• Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
• Scattering theory for a class of non-selfadjoint extensions of symmetric operators
• Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems
• FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS
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