演講者：楊其儒博士

單　位：國立清華大學數學系

日　期：2013年11月6日（星期三）　PM 2:30

地　點：國立高雄大學理學院408室

講　題：Applications of the Nash-Moser theorem

摘　要：

The existences of periodic and quasi-periodic solutions for Hamiltonian PDEs are diffi cult because of the small divisors. Nash-Moser theorem is one kind of useful approaches to the infi nite dimensional problem without a bounded inverse. Today, we will introduce two applications of the Nash- Moser theorem. In the fi rst part of this talk, it will be shown how to use a Lyapunov-Schmidt reduction scheme to construct a Cantor family of periodic solutions for a nonlinear wave equation. The second part is the unfi nished joint work with Professor Walter Craig and Dr. Carlos Gracia- Azpeitia. We try to apply the method to construct a quasi-periodic standing wave for n-corotating fi lament.