Nonlinear Partial Differential Equations
Organized by Haim Brezis, Felix Browder, Louis Nirenberg, and James Serrin
January 4-8, 1999
Irvine, CA
Monday, January 4
Fourier Analysis and Nonlinear Wave Equations
S. Klainerman, Princeton University
The Ginzburg-Landau modelbetween analysis and topology
H. Brezis, Université de Paris, L'Institut universitaire de France and Rutgers University
Fine analysis of blowup and applications
Y. Li, Rutgers University
Free boundary regularity for Poisson kernels
C. Kenig, University of Chicago
New global wellposedness results for NLS
J. Bourgain, Institue for Advanced Study, Princeton
Tuesday, January 5
Title TBA
R. Hamilton, Columbia University and University of California, San Diego, S. Klainerman, Princeton University
Qualitative properties of semilinear elliptic equations in unbounded domains
H. Berestycki, Université de Paris
Perturbation of elliptic equations in Rn with critical exponent and the Scalar Curvature problem
A. Ambrosetti, SISSA, Trieste
Holomorphic Curves and Three-Dimensional Dynamics
H. Hofer, Courant Institute, NYU
Wednesday, January 6
Solitary waves and Bohmian mechanics
V. Benci, University of Pisa, H. Brezis, Université de Paris, L'Institut universitaire de France and Rutgers University, S. Klainerman, Princeton University
Geometric Measure Theory and the Calculus of Variations, as applied to Crystal Growth Problems
J. Taylor, Rutgers University
Microstructure and counterexamples to regularity
V. Sverak, University of Minnesota
Thursday, January 7
Variational methods for Ginzburg-Landau functionals and applications to the Gross-Pitaevskii equation
F. Bethuel, Universite Paris-Sud, Orsay, H. Brezis, Université de Paris, L'Institut universitaire de France and Rutgers University, R. Hamilton, Columbia University and University of California, San Diego
Vortex dynamics and their hydrodynamic limits
F.-H. Lin, Courant Institute, NYU
Relaxation and linear programming in the calculus of variations
L. C. Evans, University of California, Berkeley
Friday, January 8
Yang-Mills equation on Riemannian manifolds
G. Tian, MIT, R. Hamilton, Columbia University and University of California, San Diego
On the constraint equations of General Relativity
R. Schoen, Stanford University
Supported by the National Science Foundation under Grant No. (9810702)
