After a review of the basics of the existence/uniqueness theory of solutions
to subcritical evolution equations of the wave/Schroedinger/Klein-Gordon type, we
will then study special soliton solutions, and discuss their stability.
We will review some of the classical work on stability versus blow-up.
The distinction between focusing and defocusing will be emphasized, and we will
concentrate more on the former.
We will introduce the notion of a center-stable manifold near soliton
type solutions, and prove results on the blow-up/scattering dichotomy.
Some ideas of the Kenig-Merle method will be presented.
Zeit: Mi 10:15 - 12:00 (to be confirmed)
Ort: HG G 43 (Hermann-Weyl-Zimmer) (to be confirmed)
Beginn: September 29 (to be confirmed)