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Start Over Descriptor "Mathematical physics" Topic approximation theory Journal communications in partial differential equations Publisher taylor & francis ltd
1 results on '"Mathematical physics"'

1. Bethe-Sommerfeld Conjecture for Pseudodifferential Perturbation.

Author

Barbatis, G. and Parnovski, L.

Subjects
*PSEUDODIFFERENTIAL operators, *OPERATOR theory, *FUNCTIONAL analysis, *PERTURBATION theory, *APPROXIMATION theory, *DYNAMICS, *MATHEMATICAL physics
Abstract

We consider a periodic pseudodifferential operator H = (- Δ)l + A (l > 0) in Rd which satisfies the following conditions: (i) the symbol of H is smooth in x, and (ii) the perturbation A has order smaller than 2l - 1. Under these assumptions, we prove that the spectrum of H contains a half-line. [ABSTRACT FROM AUTHOR]

Published
2009
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