University of Illinois Urbana-Champaign

Intrinsic contractivity for some non-symmetric Lévy processes with non-local operators

Lu, Qu

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https://hdl.handle.net/2142/93052

Description

Title
Intrinsic contractivity for some non-symmetric Lévy processes with non-local operators
Author(s)
Lu, Qu
Issue Date
2016-07-12
Director of Research (if dissertation) or Advisor (if thesis)
  • Song, Renming
  • Feng, Liming
Doctoral Committee Chair(s)
Feng, Runhuan
Committee Member(s)
DeVille, Lee
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
Graduation Semester
2016-08
Type of Resource
text
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http://hdl.handle.net/2142/93052
Copyright and License Information
Copyright 2016 Qu Lu

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