The Library
Spectral analysis of diffusions with jump boundary
Tools
Kolb, Martin and Wübker, Achim (2011) Spectral analysis of diffusions with jump boundary. Journal of Functional Analysis, Vol.261 (No.7). pp. 1992-2012. doi:10.1016/j.jfa.2011.05.025 ISSN 0022-1236.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.jfa.2011.05.025
Abstract
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: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Journal of Functional Analysis | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-1236 | ||||
Official Date: | October 2011 | ||||
Dates: |
|
||||
Volume: | Vol.261 | ||||
Number: | No.7 | ||||
Page Range: | pp. 1992-2012 | ||||
DOI: | 10.1016/j.jfa.2011.05.025 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |