Günther Uhlmann

1. A Global Uniqueness Theorem for an Inverse Boundary Value Problem
   1987/01/01 by John Sylvester, Günther Uhlmann, Gunther Uhlmann · 99 citations
   Mathematics · Computer Science · Engineering · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering
2. Determining anisotropic real‐analytic conductivities by boundary measurements
   1989/12/01 by John M. Lee, Günther Uhlmann, Gunther Uhlmann · 34 citations
   Mathematics · Engineering · #Numerical methods in inverse problems #Microwave Imaging and Scattering Analysis #Composite Material Mechanics
3. Inverse problems for Lorentzian manifolds and non-linear hyperbolic\n equations
   2014/05/14 by Yaroslav Kurylev, Kurylev, Yaroslav, Matti Lassas +3 · 9 citations
   Mathematics · Physics and Astronomy · #35J25 #53C50 #83C05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Numerical methods in inverse problems
4. The boundary rigidity problem in the presence of a magnetic field
   2006/11/25 by N. S. Dairbekov, Dairbekov, N. S., Gabriel P. Paternain +5 · 4 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
5. Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
   2015/01/31 by Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann +1 · 5 citations
   Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Mathematical Analysis and Transform Methods #Geometric Analysis and Curvature Flows
6. Increasing stability in an inverse problem for the acoustic equation
   2011/10/24 by Sei Nagayasu, Günther Uhlmann, Nagayasu, Sei +3 · 3 citations
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems
7. An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds
   2020/05/21 by Peter Hintz, Hintz, Peter, Günther Uhlmann +3 · 4 citations
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena
8. On an inverse boundary problem arising in brain imaging
   2017/02/01 by Youjun Deng, Hongyu Liu, Deng, Youjun +3 · 3 citations
   Mathematics · Engineering · #Numerical methods in inverse problems #Electrical and Bioimpedance Tomography #Microwave Imaging and Scattering Analysis
9. The X-Ray Transform for Connections in Negative Curvature
   2015/11/23 by Colin Guillarmou, Gabriel P. Paternain, Mikko Salo +2 · 3 citations
   Mathematics · Engineering · #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena #Geometric Analysis and Curvature Flows
10. The Calderón problem for nonlocal operators
    2021/10/18 by Tuhin Ghosh, Günther Uhlmann, Ghosh, Tuhin +1 · 4 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in engineering #Numerical methods in inverse problems
11. Determination of vacuum space-times from the Einstein-Maxwell equations
    2017/03/30 by Matti Lassas, Lassas, Matti, Günther Uhlmann +3 · 3 citations
    Physics and Astronomy · #Pulsars and Gravitational Waves Research #Cosmology and Gravitation Theories #Relativity and Gravitational Theory
12. Inverse problems for semilinear wave equations on Lorentzian manifolds
    2016/06/20 by Matti Lassas, Lassas, Matti, Günther Uhlmann +3 · 3 citations
    Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics
13. An inverse boundary value problem arising in nonlinear acoustics
    2022/03/06 by Günther Uhlmann, Yang Zhang, Uhlmann, Gunther +1 · 3 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems
14. A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension
    2023/05/07 by Giovanni Covi, Tuhin Ghosh, Covi, Giovanni +5 · 4 citations
    Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
15. On the inverse problem of finding cosmic strings and other topological\n defects
    2015/05/12 by Matti Lassas, Lauri Oksanen, Lassas, Matti +5 · 2 citations
    Mathematics · Computer Science · #Numerical methods in inverse problems #advanced mathematical theories #Advanced Mathematical Modeling in Engineering
16. Inverse problems for real principal type operators
    2020/01/21 by Lauri Oksanen, Oksanen, Lauri, Mikko Salo +5 · 3 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems
17. Determining a magnetic Schroedinger operator from partial Cauchy data
    2006/01/19 by David Dos Santos Ferreira, Carlos E. Kenig, Ferreira, David Dos Santos +5 · 1 citation
    Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics
18. Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
    2006/01/09 by Plamen Stefanov, Günther Uhlmann, Stefanov, Plamen +1 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #53C65 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena
19. The X-ray transform for a generic family of curves
    2007/02/03 by Béla A. Frigyik, Plamen Stefanov, Frigyik, Bela +3 · 1 citation
    Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Advanced Harmonic Analysis Research
20. On the range of the attenuated ray transform for unitary connections
    2013/02/20 by Gabriel P. Paternain, Paternain, Gabriel P., Mikko Salo +3 · 2 citations
    Physics and Astronomy · Mathematics · Engineering · #Advanced Differential Geometry Research #Mathematical Analysis and Transform Methods #Advanced Numerical Analysis Techniques
21. Tensor tomography: progress and challenges
    2013/03/25 by Gabriel P. Paternain, Paternain, Gabriel P., Mikko Salo +3 · 1 citation
    Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories
22. Generalized backscattering and the Lax-Phillips transform
    2007/12/27 by Richard Melrose, Günther Uhlmann, Melrose, Richard +1 · 1 citation
    Earth and Planetary Sciences · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in engineering #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques
23. Nonlinear responses from the interaction of two progressing waves at an interface
    2017/08/25 by Maarten V. de Hoop, Günther Uhlmann, de Hoop, Maarten +3 · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in engineering #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena
24. Nonlinear interaction of waves in elastodynamics and an inverse problem
    2018/05/10 by Maarten V. de Hoop, de Hoop, Maarten, Günther Uhlmann +3 · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena #Ultrasonics and Acoustic Wave Propagation
25. Fractional anisotropic Calderón problem with external data
    2025/02/02 by Ali Feizmohammadi, Feizmohammadi, Ali, Tuhin Ghosh +9 · 4 citations
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Analysis
26. Recovery of nonlinear terms for reaction diffusion equations from boundary measurements
    2020/11/11 by Yavar Kian, Günther Uhlmann, Kian, Yavar +1 · 1 citation
    Mathematics · Computer Science · Engineering · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations
27. Inverse Boundary Value Problems for Wave Equations with Quadratic Nonlinearities
    2021/04/16 by Günther Uhlmann, Yang Zhang, Uhlmann, Gunther +1 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena
28. A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds
    2021/10/26 by Katya Krupchyk, Krupchyk, Katya, Günther Uhlmann +3 · 1 citation
    Mathematics · #Geometry and complex manifolds #Spectral Theory in Mathematical Physics #Geometric Analysis and Curvature Flows
29. Inverse Problems For Third-Order Nonlinear Perturbations Of Biharmonic Operators
    2023/12/13 by Sombuddha Bhattacharyya, Bhattacharyya, Sombuddha, Katya Krupchyk +5 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
30. Inversion formulas and range characterizations for the attenuated\n geodesic ray transform
    2016/09/14 by Yernat M. Assylbekov, Assylbekov, Yernat, François Monard +3 · 1 citation
    Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Morphological variations and asymmetry
31. Recovery of coefficients in semilinear transport equations
    2022/07/20 by Ru-Yu Lai, Günther Uhlmann, Lai, Ru-Yu +3 · 1 citation
    Mathematics · Medicine · #Advanced MRI Techniques and Applications #Analysis of PDEs (math.AP) #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical methods in inverse problems
32. Inverse Boundary Value Problem by Partial data for the Neumann-to-Dirichlet-map in two dimensions
    2012/10/03 by Oleg Imanuvilov, Imanuvilov, O., Günther Uhlmann +3 · 2 citations
    Computer Science · Engineering · Mathematics · #35R30 #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems
33. On regularized full- and partial-cloaks in acoustic scattering
    2015/02/04 by Youjun Deng, Deng, Youjun, Hongyu Liu +3 · 1 citation
    Physics and Astronomy · Engineering · Mathematics · #Electromagnetic Scattering and Analysis #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems
34. The Calderón problem for nonlocal parabolic operators: A new reduction from the nonlocal to the local
    2023/08/18 by Ching-Lung Lin, Yi‐Hsuan Lin, Lin, Ching-Lung +3 · 2 citations
    Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems