Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
邓 煜 博士, Courant研究所,USA
Inviter:
Title:
Strichartz estimates on irrational tori, and applications
Time & Venue:
2017.12.29 15:00-17:00 N913
Abstract:
Recently, Bourgain-Demeter proved the optimal Lp 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.