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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)

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