Academics

Microlocal Analysis and Inverse Problems

Time:Fri.,10:00-11:00 am, March.3, 2023

Venue:ID: 618-038-6257, PW: SCMS

Organizer:Chen Xi(Fudan), Long Jin(Tsinghua)

Speaker:Gunther Uhlmann University of Washington & HKUST

Abstract:

We will discuss some applications of microlocal analysis to inverse problems, in particular the back scattering problem, Calderon's problem and inverse problems for nonlinear equations.


About speaker:

Gunther Uhlmann

Professor Gunther Uhlmann, Walker Family Endowed Professor in Mathematics at the University of Washington, has been appointed IAS Si Yuan Professor, also joining the University’s Department of Mathematics.

His interest and expertise in this area is a reflection of his deeply-held belief about the universal importance of mathematics, which is now becoming increasingly relevant in many other fields, such as physics, computer science and materials science.

Professor Uhlmann has received numerous international accolades, among them Fellow of the American Mathematical Society, Finnish Distinguished Professor 2013-17, Rothschild Distinguished Visiting Fellow at Cambridge University and Isaac Newton Institute of Mathematical Sciences 2011, Chair of Excellence 2012-13 of the Fondation Sciences Mathématiques de Paris, the Bôcher Memorial Prize (awarded once every three or five years by the American Mathematical Society), and the 2021 AMS-SIAM George David Birkhoff Prize in Applied Mathematics jointly awarded by the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM).

DATEMarch 3, 2023
SHARE
Related News
    • 0

      Seminar on Microlocal Analysis and Applications | Inverse problem for Yang-Mills-Higgs fields

      Abstract:We show that the Yang-Mills potential and Higgs field are uniquely determined (up to the natural gauge) from source-to-solution type data associated with the classical Yang-Mills-Higgs equations in the Minkowski space. We impose natural non-degeneracy conditions on the representation for the Higgs field and on the Lie algebra of the structure group which are satisfied for the case of ...

    • 1

      Inverse Problems for Some Nonlinear PDEs with Partial Data

      AbstractIn this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs, modeling for example nonlinear optics, including nonlinear magnetic Schrodinger equation and time-dependent Schrodinger equation. Considering partial data problems, the problem will be reduced to solving for the coefficient functions from their in...