Kamotski, ilia;
Smyshlyaev, valery;
Cooper, Shane;
(2026)
Uniform spectral asymptotics for high-contrast
periodic media.
In: Chatzakou, Marianna and Ruzhansky, Michael and Van Bockstal, Karel, (eds.)
Direct and Inverse Problems with Applications.
(pp. pp. 123-128).
Birkhäuser: Cham, Switzerland.
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Abstract
For an elliptic operator with high-contrast periodic matrix-inclusion coefficients in Rn, n ≥ 2, we obtain improved results on uniform approximations of typical Floquet-Bloch eigenvalues in terms of those of an explicit two-scale limit operator. As a result, we obtain not only improved rates for convergence of the spectra to the limit spectrum displaying band gaps, but also improved uniform estimates for an explicit asymptotics for the integrated density of states.
| Type: | Proceedings paper |
|---|---|
| Title: | Uniform spectral asymptotics for high-contrast periodic media |
| Event: | 2024 GAP Center Summer School |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-031-98645-1_12 |
| Publisher version: | https://doi.org/10.1007/978-3-031-98645-1_12 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. It has been made open access under the Creative Commons (CC BY) licence under the terms of the UCL Intellectual Property (IP) Policy and UCL Publications Policy. |
| Keywords: | Floquet-Bloch spectrum; high-contrast ; two-scale operator approximations |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10219740 |
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