Symmetric jump processes and their heat kernel estimates View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2009-07

AUTHORS

Zhen-Qing Chen

ABSTRACT

We survey the recent development of the DeGiorgi-Nash-Moser-Aronson type theory for a class of symmetric jump processes (or equivalently, a class of symmetric integro-differential operators). We focus on the sharp two-sided estimates for the transition density functions (or heat kernels) of the processes, a priori Hölder estimate and parabolic Harnack inequalities for their parabolic functions. In contrast to the second order elliptic differential operator case, the methods to establish these properties for symmetric integro-differential operators are mainly probabilistic. More... »

PAGES

1423-1445

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11425-009-0100-0

DOI

http://dx.doi.org/10.1007/s11425-009-0100-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1006877489


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