Summer School 2012 on Nonlocal Operators

• SFB 701
• Department of Mathematics
• Bielefeld University

Materials

You might want to check out the following two articles in order to get a feeling what the school will be about.

• Zhen-Qing Chen; Panki Kim; Takashi Kumagai, "Global heat kernel estimates for symmetric jump processes", Trans. Amer. Math. Soc. *363* (2011), 5021-5055.
• Luis Caffarelli; Luis Silvestre, "The Evans-Krylov theorem for nonlocal fully nonlinear equations", Annals of Mathematics *174* No. 2 (2011), 1163-1187.

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For the course of Z.-Q. Chen, the first two chapters of Bertoin's book on Lévy processes is a good source for preparation.

There are notes by L. Silvestre on a previous course here: click.
For people not familar with the local regularity theory (Hoelder regularity, Harnack inequality) for differential operators of second order, chapter 9 in the book of Gilbarg and Trudinger is a good source.

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