Analysis Seminar

Submitted by admin on Wed, 01/09/2013 - 19:02
Reducibility for the Quasi-Periodic Liner Schrodinger and Wave Equations
Lars Hakan Eliasson
University of Paris VI; Member, School of Mathematics
Date & Time: 
Tue, 02/21/2012 - 14:30 - 15:30
Location: 
S-101

We shall discuss reducibility of these equations on the torus with a small potential that depends quasi-periodically on time. Reducibility amounts to "reduce” the equation to a time-independent linear equation with pure point spectrum in which case all solutions will be of Floquet type.
For the Schrodinger equation, this has been proven in a joint work with S. Kuksin, and for the wave equation we shall report on a work in progress with B. Grebert and S. Kuksin.

terms: