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Spectral and analytic properties of some non-local Schrödinger operators and related jump processes
journal contribution
posted on 2015-09-30, 15:01 authored by Jozsef Lorinczi, Kamil Kaleta, Samuel O. DurugoWe discuss recent developments in the spectral theory of non-local SchrOdinger operators via a Feynman-Kac-type approach. The processes we consider are subordinate Brownian motion and a class of jump Levy processes under a Kato-class potential. We discuss some explicitly soluble specific cases, and address the spatial decay properties of eigenfunctions and the number of negative eigenvalues in the general framework of the processes we introduce.
Funding
KK was supported by the National Science Center (Poland) post-doctoral internship grant on the basis of the decision No. DEC-2012/04/S/ST1/00093
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Applied and Industrial MathematicsCitation
LORINCZI, J., KALETA, K. and DURUGO, S.O., 2015. Spectral and analytic properties of some non-local Schrödinger operators and related jump processes. Communications in Applied and Industrial Mathematics, 6 (2), e-534.Publisher
Società Italiana di Matematica Applicata e Industriale (SIMAI)Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 Unported (CC BY-NC-ND 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-nd/3.0/Publication date
2015Notes
This is an open access article published by the Italian Society for Applied and Industrial Mathematics (SIMAI)and licensed under the terms of the Creative Commons Attribution NonCommercial NoDerivs 3.0 License.ISSN
2038-0909Publisher version
Language
- en