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Details of Grant 

EPSRC Reference: GR/M20549/01
Title: SCATTERING ON MANIFOLDS
Principal Investigator: Parnovski, Professor L
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mathematical & Physical Sciences
Organisation: University of Sussex
Scheme: Standard Research (Pre-FEC)
Starts: 01 February 1999 Ends: 31 January 2001 Value (£): 52,348
EPSRC Research Topic Classifications:
Mathematical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The programme is concerned with the study of scattering data of elliptic operators acting on noncompact manifolds. We intend to study the asymptotic behaviour of the spectral shift function for various types of singularities of the manifold near infinity (cylindrical, conical and hyperbolic ends) as well as for different types of operators (Laplacians, higher order operators and systems). Another area of investigation is study of resonances, their existence, location and asymptotic distribution.
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Organisation Website: http://www.sussex.ac.uk