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.