Quasi-periodic solutions in some ill-posed Hamiltonian PDE's

Tuesday, September 25, 2012 - 9:00am - 9:50am
Keller 3-180
Rafael de la Llave (Georgia Institute of Technology)
We present an a-posteriori KAM theorem for whiskered tori in
Hamiltonian PDE's. We do not need to assume that the
equations define an evolution (just that the forward (resp. backwards)
evolution is defined in the stable (resp. unstable) space and
that these spaces are complementary with the tangent and the
symplectic conjugate. This is joint work with Y. Sire
and closely related to work with E. Fontich and Y. Sire.
MSC Code: