The Proof of an Abstract Nash-Moser Implicit Function Theorem

Series
Dynamical Systems Working Seminar
Time
Friday, February 15, 2019 - 3:05am for 1 hour (actually 50 minutes)
Location
Skiles 246
Speaker
Yian Yao – GT Math
Organizer
Jiaqi Yang
I will present a proof of an abstract Nash-Moser Implicit Function Theorem. This theorem can cope with derivatives which are not boundly invertible from one space to itself. The main technique is to combine Newton steps - which loses derivatives with some smoothing that restores them.