Pchelintseva, I;
(2012)
Spectral properties of periodic pseudo-differential operators.
Doctoral thesis , UCL (University College London).
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Abstract
We study elliptic diff erential and pseudo-differential operators with periodic coefficients. For a wide class of such operators we prove the Bethe-Sommerfeld conjecture, i.e. that the spectrum can have only finitely many gaps. We also study the integrated density of states of periodic Schroedinger operators and prove a lower bound for its variance in the high energy regime. This results in the lower bound for the non-integrated density of states of such operators.
| Type: | Thesis (Doctoral) |
|---|---|
| Title: | Spectral properties of periodic pseudo-differential operators |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| UCL classification: | UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1357491 |
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