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...
Abstract：We consider a non-compact Riemannian manifold $M$ having ends equipped with asymptotically warped product metric. We allow any topology and metric for the finite part of $M$. As for the volume growth of each end, we assume any polynomial or exponential order. Studying the spectral properties of the Laplacian of $M$, we show that the S-matrix determines the manifold $M$. We can also in...
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