BIMSA >
Waves, gravitation and geometry
A physical space approach to bilinear estimate and its applications to nonlinear wave and dispersive equations
A physical space approach to bilinear estimate and its applications to nonlinear wave and dispersive equations
Organizers
Lars Andersson
, Pieter Blue
, Siyuan Ma
, Pin Yu
Speaker
Yi Zhou
Time
Wednesday, October 30, 2024 10:00 AM - 12:00 PM
Venue
Tsinghua-Jingzhai-105
Online
Zoom 518 868 7656
(BIMSA)
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.
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.