Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model
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Publication:507168
DOI10.1007/s00220-016-2698-4zbMath1372.47057arXiv1510.03364OpenAlexW2285959480WikidataQ59615512 ScholiaQ59615512MaRDI QIDQ507168
Alexander V. Kiselev, Kirill D. Cherednichenko
Publication date: 3 February 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.03364
Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05)
Related Items
Operator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions ⋮ Homogenisation of thin periodic frameworks with high-contrast inclusions ⋮ \(\delta^{\prime}\)-interaction as a limit of a thin Neumann waveguide with transversal window ⋮ Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I ⋮ FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems ⋮ Time-Dispersive Behavior as a Feature of Critical-Contrast Media ⋮ Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
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