Nonlocal PDEs, Variational Problems and their Applications

February 27 - March 2, 2012

Schedule


Monday, February 27, 2012

9:00 - 10:00
Luis Caffarelli (University of Texas at Austin)

 

10:25 - 11:15
Cyril Imbert (Centre National de la Recherche Scientifique (CNRS))

Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
PDF Presentation

11:40 - 12:30
Ovidiu Savin (Columbia University)

 

2:30 - 3:20
Panagiotis Souganidis (University of Chicago)

Singular Hamilton-Jacobi Equations for the “Tail Problem”
PDF Presentation

4:00 - 4:50

Tuesday, February 28, 2012

9:00 - 9:50
Stanley Osher (University of California, Los Angeles (UCLA))

Nonlocal Operators with Applications in Imaging

10:15 - 11:05
11:30 - 12:20
Jose Carrillo (Autonomous University of Barcelona)

Keller-Segel, Fast-Diffusion and Functional Inequalities
PDF Presentation

2:30 - 3:20
4:00 - 4:50
Andrea Bertozzi (University of California, Los Angeles (UCLA))

Nonlocal Aggregation Equations and Fluid Dynamics
PDF Presentation


Wednesday, February 29, 2012

9:00 - 9:50
Joel Lebowitz (Rutgers University)

Microscopic Models and Macroscopic Equations

10:15 - 11:05
Cyrill Muratov (New Jersey Institute of Technology)

Gamma-Convergence for Pattern Forming Systems with Competing Interactions
PDF Presentation

11:30 - 12:20
Regis Monneau (École Nationale des Ponts-et-Chaussées)

Dislocation Dynamics: From Microscopic Models to Macroscopic Crystal Plasticity
PDF Presentation

2:00 - 2:50
Henri Berestycki (École des Hautes Études en Sciences Sociales)

 

3:15 - 4:05
4:30 - 5:20

Thursday, March 1, 2012

9:00 - 9:50
10:15 - 11:05
Moritz Kassmann (Universität Bielefeld)

Regularity Theory for Parabolic Nonlocal Operators

11:30 - 12:20
Jinqiao Duan (Institute for Pure and Applied Mathematics)

Nonlocal PDEs & Non-Gaussian Stochastic Dynamics
PDF Presentation

2:30 - 3:20
4:00 - 4:50
Patrick Guidotti (University of California, Irvine (UCI))

Some Forward-Backward and Nonlocal Diffusions of Image Processing
PDF Presentation


Friday, March 2, 2012

9:00 - 9:50
Thomas Laurent (University of California, Riverside (UC Riverside))

Aggregation via Newtonian Potential and Aggregation Patches
PDF Presentation

10:15 - 11:05
11:30 - 12:20
2:30 - 3:20
Nestor Guillen (University of California, Los Angeles (UCLA))

Non-local Notions of Convexity