# abstract

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.