PDE Real Analysis Seminar
Seminar information archive ~02/12|Next seminar|Future seminars 02/13~
Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | Yoshikazu Giga, Kazuhiro Ishige, Hiroyoshi Mitake, Tsuyoshi Yoneda |
URL | https://www.math.sci.hokudai.ac.jp/coe/sympo/pde_ra/index_en.html |
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)
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.
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.