A KAM theorem with applications to partial equations of higher dimension

Details A KAM theorem with applications to partial equations of higher dimension A KAM theorem with applications to partial equations of higher dimension

2006-06-19

arxiv.org/abs/math/0606459v1

Mathematics

Dynamical Systems

Scientific paper

10.1007/s00220-007-0287-2

The existence of lower dimensional KAM tori is shown for a class of nearly
integrable Hamiltonian systems where the second Melnikov's conditions are
eliminated. As a consequence, it is proved that there exist many invariant tori
and thus quasi-periodic solutions for nonlinear wave equations, Schr\"odinger
equations and other equations of higher spatial dimension.

Affiliated with

Also associated with

No associations

Rating

A KAM theorem with applications to partial equations of higher dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A KAM theorem with applications to partial equations of higher dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A KAM theorem with applications to partial equations of higher dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-304976