Nonlinear diffusion and free boundary problems.
A conference on the occasion of the
70th anniversary of Juan Luis Vázquez
UAM Madrid (Spain), May 17-19, 2017
Program
(Titles and Abstracts below)

Wednesday Thursday Friday
10:30-11:00
Opening
10:00-10:50
B. Perthame
10:30-11:20
J.A. Carrillo
11:00-11:50
X. Cabré
10:50-11:20
Coffee break
11:20-11:50
Coffee break
11:50-12:20
Coffee break
11:20-12:10
G. Grillo
11:50-12:40
C. Elliot
12:20-13:10
H. Shahgholian
12:10-13:00
S. Terracini
12:40-13:30
L. Caffarelli
13:10-15:00
Lunch
13:00-15:00
Lunch
13:30-13:45
Closing
15:00-15:50
S. Serfaty
15:00-15:50
P. Daskalopoulos
/
15:50-16:40
L. Vega
15:50-16:20
Coffee break
/
/ 16:20-17:10
M. Fila
/
/ 17:10-18:00
A. Figalli
/
/ / /
/ 21:00
Social Dinner
/

Titles of the talks

Xavier Cabré (ICREA-UPC, Barcelona, ES)
   Nonlocal minimal cones and surfaces with constant nonlocal mean curvature
Luis Caffarelli (Univ. Texas at Austin, Austin TX, USA)
   Some non linear obstacle type problems
Jose Antonio Carrillo (Imperial College, London, UK)
   Nonlinear aggregation-diffusions in the diffusion-dominated
    and fair-competitions regimes

Panagiota Daskalopoulos (Columbia Univ., New York, USA)
   Fully non-linear geometric flows: regularity and asymptotic behavior
Charlie Elliott (Univ. Warwick, Warwick, UK)
   PDEs on surfaces and evolving domains
Alessio Figalli (ETH, Zurich, CH)
   The De Giorgi conjecture for the half-Laplacian in dimension 4
Marek Fila (Comenius Univ., Bratislava, SK)
   Slow growth of solutions of super-fast diffusion equations
    with unbounded initial data

Gabriele Grillo (Politecnico, Milano, IT)
   The porous medium equation on negatively curved manifolds
Benoit Perthame (Univ. Pierre et Marie Curie, Paris, FR)
   Tumor growth: from compressible models to free boundaries
Henrik Shahgholian (KTH, Stockholm, SE)
   Regularity of Free Boundaries (System case)
Susanna Terracini (Univ. Torino, IT)
   On s-harmonic functions on cones
Sylvia Serfaty (Courant Inst. NYU, New York, USA)
   Mean-Field Limits for Ginzburg-Landau vortices
Luis Vega (BCAM, Bilbao, ES)
   Critical perturbations of Dirac Hamiltonians:
    selfadjointness and spectrum

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