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)
Organizers: William Beckner, Luis Caffarelli, Toti Daskalopoulos &
Tatiana Toro