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Almost conservation laws and global wellposedness: KdV on the line
Optimization| Speaker: | Jim Colliander, Berkeley |
| Location: | 202 Wellman |
| Start time: | Wed, Oct 25 2000, 4:10PM |
Description
A dynamical reinterpretation of the $L^2$ conservation law for
the Korteweg-de Vries equation, obtained in collaboration with M. Keel, G.
Staffilani, H. Takaoka and T. Tao, has led to a new method for showing global
wellposedness of nonlinear Hamiltonian PDE. The talk will describe a
procedure for generating almost conserved quantities using multilinear
harmonic analysis and the local wellposedness machinery developed in the last
decade.