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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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.
|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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