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

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2016

Author dc:creator

• Lu, Qu

Contributors dc:contributor

• Song, Renming
• Feng, Liming
• Feng, Runhuan
• DeVille, Lee

• intrinsic contractivity
• non-symmetric semigroups
• non-local operators
• ground state domination

Statement dc:rights

• Copyright 2016 Qu Lu

Language dc:language

en

Handle dc:identifier

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

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/93052