Browsing Mathematics by Author "Uhlmann, Gunther A"
Now showing items 1-6 of 6
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Elliptic Inverse Problems
Yang, YangInverse problems arise in various areas of science and engineering including medical imaging, computer vision, geophysics, solid mechanics, astronomy, and so forth. A wide range of these problems involve elliptic operators. ... -
Inverse Boundary-Value Problems on an Infinite Slab
Marinov, KaloyanIn this work, we study the stability aspect of two inverse boundary-value problems (IBVPs) on an infinite slab with partial data. The uniqueness aspects of these IBVPs were considered and studied by Li and Uhlmann for the ... -
An Inverse Source Problem in Radiative Transfer
Hubenthal, John Mark (2013-02-25)We consider the inverse source problem for the radiative transfer equation, under various assumptions on the scattering and absorption parameters, as well as on the accessible data. In such a setup, we measure the outgoing ... -
On an inverse problem for fractional connection Laplacians
Chien, Chun-KaiClassical inverse problems seek to determine the unknown coefficients of a PDE from boundary or local measurements of solutions. In the past few years, there has been a sharp increase in attention paid to inverse problems ... -
The Radiative Transfer Equation in Photoacoustic Imaging
Patrolia, Lee (2013-07-25)Photoacoustic tomography is a rapidly developing medical imaging technique that combines optical and ultrasound imaging to exploit the high contrast and high resolution of the respective individual modalities. Mathematically, ... -
Some Linear and Nonlinear Geometric Inverse Problems
Zhou, HanmingInverse problems is an area at the interface of several disciplines and has become a prominent research topic due to its potential applications. A wide range of these problems can be formulated under various geometric ...