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Inverse problems for non-linear wave equations (来源: 清华大学丘成桐数学科学中心)
时间:2022-06-12           来源:清华大学丘成桐数学科学中心

Seminar on Microlocal Analysis and Applications

组织者 Organizer:Chen Xi(Fudan), Long Jin(Tsinghua)
时间 Time:10:00-11:00 am, June 17 & July 1(Fri), 2022
地点 Venue:Zoom: 618-038-6257, Password: SCMS

Upcoming talks:


Title: Inverse problems for non-linear wave equations

Speaker: Antonio Sa Barreto(Purdue)

Time: 10:00-11:00 am, June 17th (Fri), 2022

Venue: Zoom: 618-038-6257, Password: SCMS

Abstract: Since the superposition principle does not hold for non-linear equations, their solutions interact and hence produce information that would not be present if the equation were linear. Of course the problem is how one can extract such information. I will discuss the inverse problem of determining a semi-linear potential in two different situations:

1) The inverse scattering problem for  Box u+ f(u)=0, when scattering holds for large initial data

2) Applications of nonlinear geometric optics to inverse problems. This can also be thought of as propagation of semiclassical singularities for non-linear wave equations.


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