| EPSRC Reference: |
GR/N20560/01 |
| Title: |
NEUMANN LAPLACIANS ON IRREGULAR DOMAINS AND OPERATORS ON TREES |
| Principal Investigator: |
Evans, Professor WD |
| Other Investigators: |
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| Department: |
Sch of Mathematics |
| Organisation: |
Cardiff University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 June 2000 |
Ends: |
31 May 2001 |
Value (£): |
4,800
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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It is proposed to study the spectral behaviour of the Neumann Laplacian on domains which belong to a wide class of irregular domains (GRD) introduced in [5, 7]. In [10] the PI and the proposed VF established connections between the essential spectra of the Neumann Laplacian ?? on a domain ? and that of a Sturm-Liouville-type operator H? defined on an associated tree ?. The research will initially concentrate on improving estimates in [6] for the approximation numbers of a Sobolev embedding using recent results on Hardy operators on trees. Using this knowledge, connections between the counting functions of ?? and H? will be investigated and the possibility of exotic asymptotic behaviour studied.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.cf.ac.uk |