Reducibility for the Quasi-Periodic Liner Schrodinger and Wave Equations

Analysis Seminar
Topic:Reducibility for the Quasi-Periodic Liner Schrodinger and Wave Equations
Speaker:Lars Hakan Eliasson
Affiliation:University of Paris VI; Member, School of Mathematics
Date:Tuesday, February 21
Time/Room:2:30pm - 3:30pm/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 "reduceā€ 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.