A physical space approach to bilinear estimate and its applications to nonlinear wave and dispersive equations

Waves, gravitation, and geometry

Organizers：

Lars Andersson, Pieter Blue, Siyuan Ma and Pin Yu

Speaker：

Yi Zhou 周忆

Fudan University

Time：

Wednesday 10:00am-12:00pm

Oct. 30, 2024

Venue：

Jingzhai 105

Online：

Zoom 518 868 7656

Passcode: BIMSA

Title：

A physical space approach to bilinear estimate and its applications to nonlinear wave and dispersive equations

Abstract：

I will give a brief introduction to all kinds of nonlinear wave and dispersive equations arise in physical applications and what kinds of problems people are interested.

Then I will present the new div-curl Lemma of myself and Wang and give explicit calculations how they can be applied to linear wave and Schrodinger equations as well as other dispersive equations to yield positive or useful quantities. Then I will briefly explain how they be possibly apply to a wide variety of nonlinear problems. Finally, I will report on my recent works with my collaborates in this respect.