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