Brown, B.M. and Eastham, M.S.P. and Wood, I. (2009) Estimates for the lowest eigenvalue of a star graph. Journal of Mathematical Analysis and Applications, 354 (1). pp. 24-30. ISSN 0022-247X.
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| Official URL http://dx.doi.org/10.1016/j.jmaa.2008.12.014 |
Abstract
We derive new estimates for the lowest eigenvalue of the Schrödinger operator associated with a star graph in R^2. We achieve this by a variational method and a procedure for identifying test functions which are sympathetic to the geometry of the star graph.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Ian Wood |
| Date Deposited: | 09 Apr 2010 10:59 |
| Last Modified: | 08 May 2012 08:56 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/23936 (The current URI for this page, for reference purposes) |
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