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Spectral analysis of diffusions with jump boundary

Kolb, M. and Wübker, A. (2011) Spectral analysis of diffusions with jump boundary. Journal of Functional Analysis, 261 (7). pp. 1992-2012. ISSN 0022-1236

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To link to this article DOI: 10.1016/j.jfa.2011.05.025

Abstract/Summary

In this paper we consider one-dimensional diffusions with constant coefficients in a finite interval with jump boundary and a certain deterministic jump distribution. We use coupling methods in order to identify the spectral gap in the case of a large drift and prove that there is a threshold drift above which the bottom of the spectrum no longer depends on the drift. As a corollary to our result we are able to answer two questions concerning elliptic eigenvalue problems with non-local boundary conditions formulated previously by Iddo Ben-Ari and Ross Pinsky.

Item Type:Article
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:29096
Publisher:Elsevier

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