PDE Real Analysis Seminar

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Date, time & place Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.)

2016/11/22

10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Yannick Sire (Johns Hopkins University)
De Giorgi conjecture and minimal surfaces for integro-differential operators (English)
[ Abstract ]
I will review the classical De Giorgi conjecture and its link with minimal surfaces. Then I will move on recent results for flatness of level sets of solutions of semi linear equations involving anomalous diffusion. First I will deal with the fractional laplacian; second with quite general integral operators in 2 dimensions.