Seminars & Colloquia Calendar
Analyticity and Failure of Analyticity for Bounded Solutions of Differential-Delay Equations: New Theorems and Open Questions
Roger Nussbaum - Rutgers University
Location: Hill 705
Date & time: Thursday, 20 September 2018 at 12:00PM - 1:00PM
Abstract: We shall discuss some superficially simple examples for which bounded C^(infinity) solutions are analytic on an open dense set but fail to be analytic on a Cantor-type set. We shall then discuss an even simpler class of equations which have bounded C^(infinity) solutions which we conjecture (no proofs!) are nowhere analytic. An attempt will be made to keep the talk as self-contained as possible, with most technical details swept under the rug.
The material discussed represents joint work with John Mallet-Paret.
THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US