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Title: Spectral properties of periodic pseudo-differential operators
Author: Pchelintseva, I.
ISNI:       0000 0004 2734 1331
Awarding Body: University College London (University of London)
Current Institution: University College London (University of London)
Date of Award: 2012
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available