Strichartz estimates on irrational tori, and applications
Speaker: Yu Deng, CIMS
Location: Warren Weaver Hall 1302
Date: Thursday, November 9, 2017, 11 a.m.
Recently, Bourgain-Demeter proved the optimal L^p Strichartz estimates on general tori. It turns out that for generic irrational tori, these estimates can still be improved, namely that they are satisfied on long time intervals depending on the frequency. We will propose a conjecture on the optimal time length, prove partial results in this direction, and discuss applications to controlling growth of Sobolev norms for NLS. This is joint work with P. Germain and L. Guth.