Restriction Estimates and their Applications
报告人：Dr. Tianyi Ren (BICMR)
时间：2018-11-21 10:00 - 2018-11-21 11:30
地点：Room 9, Quan Zhai, BICMR
Restriction estimates are a central problem in harmonic analysis. It addresses the question of when we can restrict the Fourier transform of a function in R^n to a submanifold and the estimates that the restriction satisfies. The most famous result in this direction is the one given by Tomas and Stein. Restriction estimates have important applications in PDE. One notable application is the Strichartz estimate. Motivated by needs in solving PDE problems, considerable interest and effort has recently gone into multilinear restriction estimates. Some major contributors to this are Bennett-Carbery-Tao and Bejenaru.