Many results of persistence of quasi-periodic solutions(Kolmogorov, Arnold, Moser theory) can be recast in a-posteriori format. That is, given an approximate solution of an invariance equation, there is a true solution close to it. There are many applications of these a-posteriori format. Notably, one can take as approximate solutions the result...
Creator:
de la Llave, Rafael (Georgia Institute of Technology)
Created:
2015-11-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present an a-posteriori KAM theorem for whiskered tori inHamiltonian PDE's. We do not need to assume that theequations define an evolution (just that the forward (resp. backwards)evolution is defined in the stable (resp. unstable) space andthat these spaces are complementary with the tangent and thesymplectic conjugate. This is joint work wit...
Creator:
de la Llave, Rafael (Georgia Institute of Technology)
Created:
2012-09-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
