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Schedule, Notes/Handouts & Videos

Introductory Workshop in Nonlinear Elliptic Equations and Its Applications August 15, 2005 - August 19, 2005

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Aug 15, 2005
Monday
09:30 AM - 10:30 AM
  Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, I
Luis Caffarelli (University of Texas, Austin)
11:00 AM - 12:00 PM
  Some Fully Nonlinear Equations in Geometry, I
Matthew Gursky (University of Notre Dame)
01:30 PM - 02:30 PM
  Nonlinear PDE Methods for Analysis of Phase Transitions in Superconducting and Liquid Crystals
Patricia Bauman
02:30 PM - 03:30 PM
  Regularity of Quasilinear Subelliptic Equations
Andras Domokos
04:00 PM - 05:00 PM
  Resolving the Singularities of Minimal Hopf Cones
Yu Yuan (University of Washington)
Aug 16, 2005
Tuesday
09:30 AM - 10:30 AM
  Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, II
Luis Caffarelli (University of Texas, Austin)
11:00 AM - 12:00 PM
  Some Fully Nonlinear Equations in Geometry, II
Matthew Gursky (University of Notre Dame)
01:30 PM - 02:30 PM
  Boundary Behavior of Solutions to Second Order Elliptic and Parabolic Equations in Non-smooth Domains
Mikhail Safonov
02:30 PM - 03:30 PM
  On the Regularity of Solutions to the Monge-Ampere Equation and its Linearization
Diego Maldonado
04:00 PM - 05:00 PM
  Numerical Approximation for Fully Nonlinear Degenerate Equations
Nikolai Krylov
Aug 17, 2005
Wednesday
09:30 AM - 10:30 AM
  Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, III
Luis Caffarelli (University of Texas, Austin)
11:00 AM - 12:00 PM
  Some Fully Nonlinear Equations in Geometry, III
Matthew Gursky (University of Notre Dame)
01:30 PM - 02:30 PM
  Nonliner Elliptical Equation and Its Application Lecture
Fang-Hua Lin
02:30 PM - 03:30 PM
  A General Perron Method and Application
David Hartenstine
04:00 PM - 05:00 PM
  Numerical Approximation for Fully Nonlinear Degenerate Equations-II
Nikolai Krylov
Aug 18, 2005
Thursday
09:30 AM - 10:30 AM
  Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, IV
Luis Caffarelli (University of Texas, Austin)
11:00 AM - 12:00 PM
  Some Fully Nonlinear Equations in Geometry, IV
Matthew Gursky (University of Notre Dame)
01:30 PM - 02:30 PM
  Construction of Singular Solutions for a Fully Non-linear Equation in Conformal Geometry
Maria del Mar Gonzalez (Polytechnical University of Cataluña (Barcelona) )
02:30 PM - 03:30 PM
  Fourth Order PDEs of Critical Growth
Emmanuel Hebey
04:00 PM - 05:00 PM
  Numerical Approximation for Fully Nonlinear Degenerate Equations, III
Nikolai Krylov
Aug 19, 2005
Friday
09:30 AM - 10:30 AM
  Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, V
Luis Caffarelli (University of Texas, Austin)
11:00 AM - 12:00 PM
  Some Fully Nonlinear Equations in Geometry, V
Matthew Gursky (University of Notre Dame)
01:30 PM - 02:30 PM
  Some Liouville Type Theorems
Yanyan Li
02:30 PM - 03:30 PM
  A Constant Rank Theorem of Convex Solutions of Fully Nonlinear Equations
Peng-Fei Guan
04:00 PM - 05:00 PM
  Second-order Asymptotics for Fast Nonlinear Diffusions
Robert McCann (University of Toronto)
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