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Details of Grant 

EPSRC Reference: GR/K01001/01
Title: SPECTRAL ASYMPTOTICS FOR PARTIAL DIFFERENTIAL OPERATORS AND ASSOCIATED GEOMETRIC PROBLEMS
Principal Investigator: Safarov, Professor Y
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Department: Mathematics
Organisation: Kings College London
Scheme: Standard Research (Pre-FEC)
Starts: 10 April 1995 Ends: 09 October 1998 Value (£): 109,295
EPSRC Research Topic Classifications:
Mathematical Analysis
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Summary on Grant Application Form
It is proposed to study the connection between spectral asymptotics for partial differential operators acting on a manifold and geometric characteristics of the manifold. The problems to be studied include:I) spectral asymptotics for elliptical operators acting on a non-compact manifold; ii) relations between asymptotics of the counting function of an elliptic system of differential operators and properties of the corresponding Hamiltonian flows; andiii) spectral asymptotics for non-elliptic (in particular, semi elliptic) partial differential operators.
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