中科院数学与系统科学研究院

数学研究所

 

偏微分方程研讨班

 

报告人 博士Courant研究所,USA

 Strichartz estimates on irrational tori, and applications

  2017.12.29(星期五),15 :00-17:00

  点:数学院南楼N202

  要: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.

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