Spectral methods in Hamiltonian PDE

Series: 
CDSNS Colloquium
Monday, November 16, 2009 - 11:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Universite Paris-Sud, France
Organizer: 
We present a new theory on Hamiltonian PDE. The linear theory solves an old spectral problem on boundedness of L infinity norm of the eigenfunctions of the Schroedinger operator on the 2-torus. The nonlinear theory develops Fourier geometry, eliminates the convexity condition on the (infinite dimension) Hamiltonian and is natural for PDE.