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Spectral and analytic properties of some non-local Schrödinger operators and related jump processes

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posted on 30.09.2015, 15:01 authored by Jozsef Lorinczi, Kamil Kaleta, Samuel O. Durugo
We 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 Mathematics

Citation

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

2015

Notes

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

2038-0909

Language

en