{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/93052"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/93052","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Intrinsic contractivity for some non-symmetric Lévy processes with non-local operators","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.","abstract_html":"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. 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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.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2018-08-01","The student, Qu Lu, accepted the attached license on 2016-07-11 at 15:10.","The student, Qu Lu, submitted this Dissertation for approval on 2016-07-11 at 15:26.","This Dissertation was approved for publication on 2016-07-12 at 09:47.","DSpace SAF Submission Ingestion Package generated from Vireo submission #9871 on 2016-11-10 at 12:25:09","Made available in DSpace on 2016-11-10T18:42:55Z (GMT). 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