EPSRC Reference: |
GR/K01001/01 |
Title: |
SPECTRAL ASYMPTOTICS FOR PARTIAL DIFFERENTIAL OPERATORS AND ASSOCIATED GEOMETRIC PROBLEMS |
Principal Investigator: |
Safarov, Professor Y |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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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
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EPSRC Research Topic Classifications: |
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Related Grants: |
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Panel History: |
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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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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
Description |
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Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
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Project URL: |
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Further Information: |
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Organisation Website: |
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