Gunther Uhlmann
University of Washington · Materials Science & Engineering
Active 1950–2024
Research topics
- Computer Science
- Physics
- Mathematical analysis
- Mathematics
- Applied mathematics
- Mathematical physics
- Geometry
- Quantum mechanics
Selected publications
Recovery of coefficients in semilinear transport equations
arXiv (Cornell University) · 2022 · 2 citations
- Mathematics
- Mathematical analysis
- Applied mathematics
We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficients) and nonlinear terms can be uniquely determined, in a stable way, from the boundary measurements by applying a linearization scheme and Carleman estimates for the linear transport equations. We establish results in both Euclidean and general geometry settings.
Travel Time Tomography in Stationary Spacetimes
Journal of Geometric Analysis · 2021 · 7 citations
1st authorCorresponding- Computer Science
- Mathematical analysis
- Mathematics
Recent grants
Mathematics for Imaging with Waves
NSF · $274k · 2021–2024
NSF · $176k · 2007–2010
NSF · $270k · 2018–2021
Collaborative Research: FRG: Inverse Problems in Transport Theory
NSF · $225k · 2006–2010
NSF · $230k · 2010–2014
Frequent coauthors
- 162 shared
Mikko Salo
KTH Royal Institute of Technology
- 115 shared
Gabriel P. Paternain
- 100 shared
Plamen Stefanov
Purdue University West Lafayette
- 99 shared
Matti Lassas
- 90 shared
Ru-Yu Lai
- 75 shared
Hanming Zhou
University of California, Santa Barbara
- 63 shared
Jian Zhai
Fudan University
- 61 shared
Katya Krupchyk
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