Harmonic Analysis & PDE's Mini-conference

AMS Fall Sectional Meeting -- Austin, Texas -- October 7-10, 1999

The relationship between harmonic analysis and partial differential equations was emphasized by the work of Calderon and Zygmund in the 1950's and has evolved in many directions during the succeeding years. It is an active field with a broad spectrum of people working on a wide variety of problems. This program will focus on aspects of four areas: Dispersive Partial Differential Equations, Free Boundary Regularity Problems, Fully Nonlinear Stochastic PDE, and Geometric Partial Differential Equations which interconnect with Harmonic Analysis.

Mini-conference Lectures

• Alice Chang -- Differential equations connected to Gauss Bonnet integrand
  
• David Jerison -- The "hot spots" conjecture for domains with two axes of symmetry
  
• Carlos Kenig -- A recent result on a nonlinear evolution problem
  
• Takis Souganidis -- Fully nonlinear stochastic pde: theory and applications
  

AMS Invited Address

• Tatiana Toro -- Characterization of non-smooth domains via potential theory
  

Special Session Lectures

• Luca Capogna -- Legendrian energy minimizers
  
• James Colliander -- Regularity of Zakharov system evolutions
  
• Mikhail Feldman -- Existence and uniqueness in the Monge transport problem
  
• Qing Han -- Rank sets of harmonic mappings (with Fang-Hua Lin)
  
• Robert Jerrard -- Gamma limits of Ginzburg-Landau functionals (with H. Soner)
  
• Marcus Keel -- Recent regularity results for nonlinear wave equations (with Hart Smith, Chris Sogge and Terry Tao)
  
• Ki-ahm Lee -- The Gauss curvature flow on rotationally symmetric surfaces with flat sides (with Toti Daskalopoulos)
  
• Robert McCann -- Crystals in a cone: equilibrium shapes in the plane (with Felix Otto)
  
• John McCuan -- An application of corner comparison theorems
  
• Andrea Nahmod -- Boundary unique continuation: doubling property and nodal domains (with Paul MacManus)
  
• Gigliola Staffilani -- Small solutions of the Kadomtsev-Petviashvili equation (with Jim Colliander and Carlos Kenig)
  
• Christoph Thiele -- Multilinear singular integrals
  
• Yu Yuan -- A priori estimates for solutions of fully nonlinear equations with convex level sets (with Luis Caffarelli)