现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Jean-Yves Chemin,Université Pierre et Marie Curie, France

Inviter:  
Title:
The BKW method and some applications to quasilinear partial differential equations
Time & Venue:
2015.3.19 15:00-17:00 晨兴数学中心110室
Abstract:

The purpose of theses lectures is to explain, first on elementary examples, the basic idea of the BKW method which is here a method of approximation of solution of evolution partial differential equation in the high frequency regime. The role of the Hamilton-Jacobi equation will be highlighted.
Then we treat in full details two important cases : the case of wave equations with variable coefficients and the case of the Schrödinger coefficients with variable coefficients.
The motivation of this will be the proof of some dispersive effects in the two cases of wave and Schrödinger equations. It will allow to solve quasilinear wave and Schrödinger equations for initial data which are less regular than the regularity given by the simple use of energy estimates.

Affiliation:

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接