Abstract: This class will provide an overview of the subject of soliton stability in dimension one. Solitons are fundamental objects in nonlinear wave equations, or nonlinear physics in general, and the question of their stability is the first one to ask. Much progress has been made since the 70's, but much remains to be done in this exciting field! The mathematical tools which come into play are nonlinear functional analysis and Fourier analysis.
Soliton stability in nonlinear dispersive PDEs set on the line
13.04.2021 - 25.05.2021
Organiser:
Christoph Dellago (U Vienna)
Location: