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Title:Intrinsic contractivity for some non-symmetric Lévy processes with non-local operators
Author(s):Lu, Qu
Director of Research:Song, Renming; Feng, Liming
Doctoral Committee Chair(s):Feng, Runhuan
Doctoral Committee Member(s):Lee, DeVille
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):intrinsic contractivity
non-symmetric semigroups
non-local operators
ground state domination
Abstract:In this thesis we consider two types of non-symmetric processes, which are similar to the symmetric α-stable process. We derive sharp estimates for the eigenfunctions of the Feynman- Kac semigroups of these two types of processes and established their intrinsic contractivities. Our methods are mainly probabilistic and depend essentially on the sharp estimates of heat kernels.
Issue Date:2016-07-12
Type:Thesis
URI:http://hdl.handle.net/2142/93052
Rights Information:Copyright 2016 Qu Lu
Date Available in IDEALS:2016-11-10
Date Deposited:2016-08


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