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The conference features the Principal Lecturer Gunther Uhlmann, who is the Robert R. and Elaine F. Phelps Endowed Professor of University of Washington. Professor Uhlmann is one of the leading experts in inverse problems, and is the main leader of inverse problems community. His research topics range from rigorous mathematical analysis to real world applications, publishing more than 300 papers with numerous collaborators, and he is well known for bringing in important new problems and techniques to the math community.
The conference features the Principal Lecturer Gunther Uhlmann, who is the Robert R. and Elaine F. Phelps Endowed Professor of University of Washington. Professor Uhlmann is one of the leading experts in inverse problems, and is the main leader of inverse problems community. His research topics range from rigorous mathematical analysis to real world applications, publishing more than 300 papers with numerous collaborators, and he is well known for bringing in important new problems and techniques to the math community.
As the Principal Lecturer, Professor Uhlmann will be delivering ten hour long lectures focusing on a variety of inverse problems arising in nonlinear wave propagation, nonlinear analogs of Calderon's inverse problems, nonlinear transport equations, and inverse scattering for nonlinear PDEs. Several open problems will also be formulated.
As the Principal Lecturer, Professor Uhlmann will be delivering ten hour long lectures focusing on a variety of inverse problems arising in nonlinear wave propagation, nonlinear analogs of Calderon's inverse problems, nonlinear transport equations, and inverse scattering for nonlinear PDEs. Several open problems will also be formulated.
The following is a tentative list of topics for each lecture:
Lecture 1: Calderon's Inverse Problem
Lecture 2: Gelfand's Inverse Problem
Lecture 3: Inverse Problems for Semilinaer Wave Equations
Lecture 4: Inverse Problems for Semilinaer Elliptic Equations
Lecture 5: Inverse Problems for Quasilinear Hyperbolic Equations
Lecture 6: Inverse Problems for Quasilinear Elliptic Equations
Lecture 7: Inverse Problems for Einstein Equations
Lecture 8: Inverse Problems for Nonlinear Transport Equations
Lecture 9: Inverse Scattering for Nonlinear Equations
Lecture 10: Some Open Problems
New: Videos of the main and supplementary lectures are available at the CBMS Conference Clemson 2024 youtube channel.
Main Lectures Files: 1. Calderon's Inverse Problem
3. Inverse Problem for Nonlinear Hyperbolic Equations (updated)
4. Inverse Problem for Nonlinear Elliptic Equations
5. Calderon Problem with Quasilinear Anisotropic Conductivity (from Ruirui Wu)
6. Invisibility via Transformation Optics
Supplementary Lectures Files: 1. Inverse Problems for Transport Equations from Ru-Yu Lai
2. Nonlinear Phenomena in X-ray Tomography from Yiran Wang
Discussion's Lectures Notes: 1. Fractional Calderon's Problem from Li Li
2. Inverse Problems in Nonlinear Acoustic Imaging from Yang Zhang
The conference also features two supplementary lectures given by Dr. Ru-Yu Lai and Dr. Yiran Wang, who are early career mathematicians actively working in nonlinear inverse problems covered in the principal lectures.
Dr. Ru-Yu Lai
Dr. Ru-Yu Lai
University of Minnesota
Dr. Yiran Wang
Dr. Yiran Wang
Emory University
All the lectures of the conference will be held in the auditorium of the Watt Family Innovation Center on the campus of Clemson University. A tentative schedule for the conference is given below.
New: There will be a poster session after the lecture on Wednesday afternoon. If you are interested in presenting a poster, please contact the conference organizers.
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