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Publications
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Caday, P., De Hoop, M.V., Katsnelson, V. & Uhlmann, G. (2021). Recovery of Discontinuous Lamé Parameters from Exterior Cauchy Data. Communications in Partial Differential Equations. doi:10.1080/03605302.2020.1857399 |
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Lai, R., Uhlmann, G. & Yang, Y. (2021). Reconstruction of the Collision Kernel in the Nonlinear Boltzmann Qquation. SIAM Journal on Mathematical Analysis, 53(1), 1049-1069. doi:10.1137/20m1329366 |
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Uhlmann, G. , Yang, Y., & Zhou, H. (2021). Travel Time Tomography in Stationary Spacetimes. The Journal of Geometric Analysis. doi:10.1007/s12220-021-00620-5 |
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De Hoop, M. V., Uhlmann, G., & Vasy, A. (2020). Recovery of Material Parameters in Transversely Isotropic Media. Archive for Rational Mechanics and Analysis, 235(1), 141-165. doi:10.1007/s00205-019-01421-5 |
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Krupchyk, K., & Uhlmann, G. (2020). A Remark on Partial Data Inverse Problems for Semilinear Elliptic Equations. Proceedings of the American Mathematical Society, 148(2), 681-685. doi:10.1090/proc/14844 |
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De Hoop, M. V. ,Uhlmann, G., & Wang, Y. (2020). Nonlinear interaction of waves in elastodynamics and an inverse problem. Mathematische Annalen, 376(1-2), 765-795. doi:10.1007/s00208-018-01796-y |
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Ghosh, T., Salo, M., & Uhlmann, G. (2020). The Calderón Problem for the Fractional Schrödinger Equation. Analysis and PDE, 13(2), 455-475. doi:10.2140/apde.2020.13.455 |
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Uhlmann, G., & Wang, Y. (2020). Determination of Space-Time Structures from Gravitational Perturbations. Communications on Pure and Applied Mathematics, 73(6), 1315-1367. doi:10.1002/cpa.21882 |
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Ghosh, T., Rüland, A., Salo, M., & Uhlmann, G. (2020). Uniqueness and Reconstruction for the Fractional Calderón Problem with a Single Measurement. Journal of Functional Analysis, 279(1), 108505. doi:10.1016/j.jfa.2020.108505 |
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Lassas, M., Oksanen, L., Stefanov, P., & Uhlmann, G. (2020). The Light Ray Transform on Lorentzian Manifolds. Communications in Mathematical Physics, 377(2), 1349-1379. doi:10.1007/s00220-020-03703-6 |
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De Hoop, M. V. , Uhlmann, G., & Wang, Y. (2019). Nonlinear responses from the interaction of two progressing waves at an interface. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 36(2), 347–363. doi: 10.1016/j.anihpc.2018.04.005 |
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Paternain, G. P., Uhlmann, G., & Zhou, H. (2019). Lens Rigidity for a Particle in a Yang–Mills Field. Communications in Mathematical Physics, 366(2), 681–707. doi: 10.1007/s00220-019-03388-6 |
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Deng, Y., Liu, H., & Uhlmann, G. (2019). On an Inverse Boundary Problem Arising in Brain Imaging. Journal of Differential Equations, 2471–2502. doi. 10.1016/j.jde.2019.03.019 |
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Stefanov, P. D., Uhlmann, G., Vasy, A., & Zhou, H. (2019). Travel Time Tomography. Acta Mathematica Sinica, English Series, 35(6), 1085–1114. doi: 10.1007/Fs10114-019-8338-0 |
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Krupchyk, K., & Uhlmann, G. (2019). Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit. Journal De Mathématiques Pures Et Appliquées, 126, 273–291. doi: 10.1016/j.matpur.2019.02.017 |
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Lai, R., Li, Q., & Uhlmann, G. (2019). Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling. SIAM Journal on Applied Mathematics, 79(6), 2340-2358. doi:10.1137/18M1207582 |
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Hintz, P., & Uhlmann, G. (2019). Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets. International Mathematics Research Notices, 2019(22), 6949-6987. doi:10.1093/imrn/rnx320 |
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Yeung, T. S., Chung, E. T., & Uhlmann, G. (2019). Numerical Inversion of Three-Dimensional Geodesic X-Ray Transform Arising from Travel Time Tomography. SIAM Journal on Imaging Sciences, 12(3), 1296-1323. doi:10.1137/18m1183340 |
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Caday, P., De Hoop, M. V., Katsnelson, V., & Uhlmann, G. (2019). Reconstruction of piecewise smooth wave speeds using multiple scattering. Transactions of the American Mathematical Society, 372(2), 1213-1235. doi:10.1090/tran/7632 |
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Paternain, G. P., Salo, M., Uhlmann, G., & Zhou, H. (2019). The geodesic X-ray transform with matrix weights. American Journal of Mathematics, 141(6), 1707-1750. doi:10.1353/ajm.2019.0045 |
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De Hoop, M. V. , Uhlmann, G., & Zhai, J. (2019). Inverting the Local Geodesic Ray Transform of Higher Rank Tensors. Inverse Problems, 35(11), 115009. doi:10.1088/1361-6420/ab1ace |
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Caday, P., De Hoop, M. V., Katsnelson, V., & Uhlmann, G. (2018). Scattering Control for the Wave Equation with Unknown Wave Speed. Archive for Rational Mechanics and Analysis, 231(1), 409–464. doi: 10.1007/s00205-018-1283-8 |
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Stefanov, P., Uhlmann, G., & Vasy, A. (2018). Inverting the local geodesic X-ray transform on tensors. Journal d'Analyse Mathématique, 136(1), 151–208. doi: 10.1007/s11854-018-0058-3 |
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Krupchyk, K., & Uhlmann, G. (2018). Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries. Communications in Mathematical Physics, 361(2), 525–582. doi: 10.1007/s00220-018-3182-0 |
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Krupchyk, K., & Uhlmann, G. (2018). Inverse problems for advection diffusion equations in admissible geometries. Communications in Partial Differential Equations, 43(4), 585–615. doi: 10.1080/03605302.2018.1446163 |
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Holman, S., & Uhlmann, G. (2018). On the microlocal analysis of the geodesic X-ray transform with conjugate points. Journal of Differential Geometry, 108(3), 459–494. doi: 10.4310/jdg/1519959623 |
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Assylbekov, Y. M., Monard, F., & Uhlmann, G. (2018). Inversion formulas and range characterizations for the attenuated geodesic ray transform. Journal De Mathématiques Pures Et Appliquées, 111, 161–190. doi: 10.1016/j.matpur.2017.09.006 |
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Lassas, M., Uhlmann, G., & Wang, Y. (2018). Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds. Communications in Mathematical Physics, 360(2), 555–609. doi: 10.1007/s00220-018-3135-7 |
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Ilmavirta, J., & Uhlmann, G. (2018). Tensor tomography in periodic slabs. Journal of Functional Analysis, 275(2), 288–299. doi: 10.1016/j.jfa.2018.04.004 |
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Palacios, B., Uhlmann, G., & Wang, Y. (2018). Quantitative Analysis of Metal Artifacts in X-ray Tomography. SIAM Journal on Mathematical Analysis, 50(5), 4914–4936. doi: 10.1137/17m1160392 |
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Lai, R., Shankar, R., Spirn, D. and Uhlmann, G. (2017). An Inverse Problem from Condensed Matter Physics. Inverse Problems, 33(11), p.115011. |
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Stefanov, P., Uhlmann, G., & Vasy, A. (2017). Local recovery of the compressional and shear speeds from the hyperbolic DN map. Inverse Problems, 34(1), 014003. doi: 10.1088/1361-6420/aa9833 |
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Lassas, M., Oksanen, L., Stefanov, P., & Uhlmann, G. (2017). On the Inverse Problem of Finding Cosmic Strings and Other Topological Defects. Communications in Mathematical Physics, 357(2), 569–595. doi: 10.1007/s00220-017-3029-0 |
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Palacios, B., Uhlmann, G., & Wang, Y. (2017). Reducing Streaking Artifacts in Quantitative Susceptibility Mapping. SIAM Journal on Imaging Sciences, 10(4), 1921–1934. doi: 10.1137/16m1096475 |
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Krupchyk, K. and Uhlmann, G. (2016). The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives. Communications in Mathematical Physics, 348(1), pp.185-219. doi:10.1007/s00220-016-2666-z |
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Uhlmann, G. and Vasy, A. (2016). The inverse problem for the local geodesic ray transform. Inventiones mathematicae, 205(1), pp.83-120. doi: 10.1007/s00222-015-0631-7 |
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Deng, Y., Liu, H., & Uhlmann, G. (2016). Full and Partial Cloaking in Electromagnetic Scattering. Archive for Rational Mechanics and Analysis, 223(1), 265–299. doi: 10.1007/s00205-016-1035-6 |
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Bal, G., Monard, F. and Uhlmann, G. (2015). Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields. SIAM Journal on Applied Mathematics, 75(5), pp.2214-2231. doi: 10.1137/151005269 |
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Guillarmou, C., Paternain, G., Salo, M. and Uhlmann, G. (2015). The X-Ray Transform for Connections in Negative Curvature. Communications in Mathematical Physics, 343(1), pp.83-127. doi:10.1007/s00220-015-2510-x |
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Liu, H. and Uhlmann, G. (2015). Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Inverse Problems, 31(10), p.105005. doi:1088/0266-5611/31/10/105005 |
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Imanuvilov, O., Uhlmann, G. and Yamamoto, M. (2015). The Neumann-to-Dirichlet map in two dimensions. Advances in Mathematics, 281, pp.578-593. doi:10.1088/0266-5611/31/10/105005 |
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