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Details of Grant 

EPSRC Reference: GR/N37193/01
Title: EIGENVALUES IN THE SPECTRAL GAPS OF PERIODIC DIFFERENTIAL OPERATORS
Principal Investigator: Safarov, Professor Y
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Department: Mathematics
Organisation: Kings College London
Scheme: Standard Research (Pre-FEC)
Starts: 22 March 2001 Ends: 21 May 2001 Value (£): 4,100
EPSRC Research Topic Classifications:
Mathematical Analysis
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Summary on Grant Application Form
We intend to study the asymptotic behaviour of Eigenvalues in the spectral gaps of a periodic partial differential operator in a waveguide, which appear as a result of a perturbation by a non-periodic operator of a lower order. We are planning to obtain asymptotic formulae for these Eigenvalues for large values of the coupling constant and to single out the abstract properties of the spectral function responsible for their asymptotic behaviour.
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