Conference on Recent Trends on Elliptic Nonlocal Equations

June 6 - 10, 2016, The Fields Institute

Location: Fields Institute, Stewart Library

Description

In the second workshop, we would like to emphasize more on all the aspects covered by the elliptic theory of nonlocal equations. This topic is central since the beginning of the study of non-local equations. The aim of the workshop is two-fold: first make a point on the known results; second emphasize on what would be the possible future line of research to develop.

Schedule

Monday, June 6th, 2016
09:20 to 09:30	Welcome and Introduction
09:30 to 10:30	Bifurcation and Spectral Convergence in Nonlinear Nonlocal Diffusion Equations Peter Bates, Michigan State University
10:30 to 11:00	Coffee Break
11:00 to 12:00	Fractional Allen-Cahn equations and nonlocal minimal surfaces: asymptotics with or without forcing Vincent Millot, Université Paris Diderot - Paris 7
12:00 to 15:30	Lunch Break
15:30 to 16:30	Some results on the singular fractional Yamabe problem Azahara de la Torre Pedraza, Universitat Politècnica de Catalunya
16:30	Reception in the Fields Institute atrium

Tuesday, June 7th, 2016
09:30 to 10:30	Asymptotic Growth of Positive Solutions to a Nonlocal Blow-up System Involving Strong Competition Stefano Vita, Università degli Studi di Torino
10:30 to 11:00	Coffee Break
11:00 to 12:00	The two membranes problem Daniela De Silva, Barnard College, Columbia University
12:00 to 14:00	Lunch Break
14:00 to 15:00	Supersolutions in Fractional Nonlinear Problems Tuomo Kuusi, Aalto University
15:00 to 15:30	Coffee Break
15:30 to 16:30	Free boundary regularity in the parabolic fractional obstacle problem Xavier Ros-Oton, University of Texas at Austin

Wednesday, June 8th, 2016
09:30 to 10:30	A min-max formula for operators that have the global comparison principle (i.e. elliptic operators) Russell Schwab, Michigan State University
10:30 to 11:00	Coffee Break
11:00 to 12:00	Regularity of the free boundary for the obstacle problem for the fractional Laplacian with a drift term Nicola Garofalo, University of Padova
12:00	Lunch Break and Free Afternoon
18:30	Conference Dinner at Sidecar Restaurant

Thursday, June 9th, 2016
09:30 to 10:30	Uniform Lipschitz bounds for strongly competing systems and applications Nicola Soave, Justus-Liebig-Universität
10:30 to 11:00	Coffee Break
11:00 to 12:00	Nonlocal minimal surfaces: regularity and quantitative properties Enrico Valdinoci, University of Melbourne
12:00 to 14:00	Lunch Break
14:00 to 15:00	Singular perturbations of systems of fractional differential equations Alessandro Zilio, EHESS
15:30 to 16:00	Coffee Break
15:30 to 16:30	The Hele-Shaw problem and parabolic integro-differential equations Nestor Guillen, University of Massachusetts Amherst

Registered Participants

Name	Affiliation
Peter Bates	Michigan State University
Gabriele Cora	Università degli Studi di Torino
Azahara de la Torre Pedraza	Universitat Politècnica de Catalunya
Daniela De Silva	Barnard College, Columbia University
Luis Felipe Duque Alvarez	University of Texas at Austin
Mostafa Fazly	University of Alberta and University of Lethbridge
Antonio Gaudiello	Università degli Studi di Cassino e del Lazio Meridionale
Changfeng Gui	University of Texas at San Antonio
Cornelia Mihaila	University of Texas at Austin
Vincent Millot	Université Paris Diderot - Paris 7
Matt Novack	University of Texas - Austin
Peter Pang	National University of Singapore
Xavier Ros-Oton	University of Texas at Austin
Shaya Shakerian	University of British Columbia
Yannick Sire	Johns Hopkins University
Nicola Soave	Justus-Liebig-Universität
Logan Stokols	University of Texas at Austin
Liming Sun	Rutgers University
Giorgio Tortone	University of Turin
Enrico Valdinoci	University of Melbourne
Stefano Vita	Università degli Studi di Torino
Yijing Wu	University of Texas at Austin
Hui Yu	University of Texas at Austin
Mingfeng Zhao	University of British Columbia
Alessandro Zilio	EHESS