I first got in contact with Hamiltonian PDEs when I wrote my first thesis about the Nash-Moser-Theorem as some books mentioned them as a field of application of this theorem. As those examples were quite interesting, I would like to learn more about that area and the problems relating to them. However, it is hard to find introductory books or papers on Hamiltonian PDEs and when I do, I feel like hitting a wall after some time as they are too advanced.

Does anybody know a good introduction to Hamiltonian PDEs or what I could study beforehand to obtain the necessary background? I've already taken an undergraduate course on dynamical systems and some graduate courses on (nonlinear) functional analysis and a first course on PDEs (95% elliptic theory). Next term I will take a course on evolution equations (mostly semigroup-theory I guess) and theoretical mechanics. As some authors seem to use some methods from differential geometry, is it also useful to study that too, or is differential geometry not that necessary?



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.