Edit Profile (opens in new tab) Uhlmann, Gunther Alberto Co-Author Distance Author ID: uhlmann.gunther-a Published as: Uhlmann, Gunther; Uhlmann, G.; Uhlmann, G. A.; Uhlmann, Gunther A.; Uhlmann, Günther more...less Further Spellings: Uhlmann Arancibia, Gunther Alberto Homepage: http://sites.math.washington.edu/~gunther/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 309 Publications since 1977, including 1 Book and 31 Additional arXiv Preprints 11 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 130 Co-Authors with 293 Joint Publications 3,293 Co-Co-Authors all top 5 Co-Authors 26 single-authored 37 Stefanov, Plamen D. 34 Lassas, Matti J. 24 Greenleaf, Allan 24 Wang, Jenn-Nan 21 Salo, Mikko 17 de Hoop, Maarten V. 17 Kurylëv, Yaroslav Vadimovich 16 Krupchyk, Katya 15 Vasy, András 14 Nakamura, Gen 11 Paternain, Gabriel Pedro 11 Wang, Yiran 11 Zhai, Jian 9 Krupchyk, Katsiaryna 8 Sun, Ziqi 8 Sylvester, John Herbert 8 Yamamoto, Masahiro 8 Zhou, Hanming 7 Ghosh, Tuhin 7 Imanuvilov, Oleg Yu. 7 Kenig, Carlos Eduardo 7 Liu, Hongyu 6 Bal, Guillaume 6 Lai, Ru-Yu 6 Oksanen, Lauri 5 Katsnelson, Vitaly 5 Kian, Yavar 5 Lin, Ching-Lung 5 Pestov, Leonid 5 Sjöstrand, Johannes 4 Bhattacharyya, Sombuddha 4 Chung, Tsz Shun Eric 4 Feizmohammadi, Ali 4 Nagayasu, Sei 4 Smith, Hart F. 3 Bukhgeǐm, Alexandre L. 3 Caday, Peter 3 Deng, Youjun 3 Dos Santos Ferreira, David 3 Finch, David V. 3 Guillarmou, Colin 3 Hintz, Peter 3 Isozaki, Hiroshi 3 Melrose, Richard Burt 3 Monard, François 3 Qian, Jianliang 3 Siltanen, Samuli 3 Zhao, Hongkai 2 Ammari, Habib 2 Cârstea, Cătălin Ion 2 Covi, Giovanni 2 Dairbekov, Nurlan Slyamkhanovich 2 Dyatlov, Gleb V. 2 Holman, Sean F. 2 Ilmavirta, Joonas 2 Kang, Hyeonbae 2 Lin, Yi-Hsuan 2 Mendoza, Gerardo A. 2 Nolan, Clifford J. 2 Päivärinta, Lassi 2 Palacios, Benjamín 2 Rüland, Angkana 2 Sharafutdinov, Vladimir A. 2 Vogelius, Michael S. 2 Yang, Yang 2 Zhang, Yang 2 Zou, Jun 1 Acosta, Sebastian 1 Albin, Pierre 1 Alessandrini, Giovanni 1 Andersson, Fredrik K. 1 Antoniano, José L. 1 Assylbekov, Yernat M. 1 Borcea, Liliana 1 Brown, Russell Murray 1 Brytik, Valeriy 1 Callias, Constantine J. 1 Cheney, Margaret 1 Chow, Yat Tin 1 Conca, Carlos 1 Croke, Christopher B. 1 Enciso, Alberto 1 Frigyik, Béla A. 1 Garnier, Josselin 1 Graham, C. Robin 1 Guillemin, Victor W. 1 Hamilton, Sarah Jane 1 Hansen, Sönke 1 Heck, Horst 1 Ide, Takanori 1 Isakov, Victor M. 1 Kettunen, Henrik 1 Knudsen, Kim M. 1 Kow, Pu-Zhao 1 Kuchment, Peter A. 1 Lan, Ih-Ren 1 Lasiecka, Irena 1 Lee, John M. 1 Li, Jingzhi 1 Li, Qin ...and 32 more Co-Authors all top 5 Serials 23 Inverse Problems 19 Communications in Mathematical Physics 12 Communications in Partial Differential Equations 10 Inverse Problems and Imaging 9 Communications on Pure and Applied Mathematics 9 Duke Mathematical Journal 9 Journal of Functional Analysis 9 SIAM Journal on Mathematical Analysis 8 SIAM Journal on Applied Mathematics 7 American Journal of Mathematics 6 Archive for Rational Mechanics and Analysis 6 Mathematische Annalen 6 Transactions of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematical Research Letters 6 Analysis & PDE 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Journal of Differential Geometry 5 IMRN. International Mathematics Research Notices 4 Methods and Applications of Analysis 4 Annals of Mathematics. Second Series 4 SIAM Journal on Imaging Sciences 3 Journal of the American Mathematical Society 3 Journal of Inverse and Ill-Posed Problems 3 Contemporary Mathematics 3 Mathematical Sciences Research Institute Publications 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Discrete and Continuous Dynamical Systems 2 Journal of Spectral Theory 2 Pure and Applied Analysis 1 Acta Cientifica Venezolana 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Wave Motion 1 Journal of the Korean Mathematical Society 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Communications in Analysis and Geometry 1 Applied and Computational Harmonic Analysis 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Electronic Journal of Differential Equations (EJDE) 1 Serdica Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Multiscale Modeling & Simulation 1 Cambridge Studies in Advanced Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Panoramas et Synthèses 1 GEM - International Journal on Geomathematics 1 Bulletin of Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 242 Partial differential equations (35-XX) 63 Differential geometry (53-XX) 52 Optics, electromagnetic theory (78-XX) 46 Global analysis, analysis on manifolds (58-XX) 29 Integral transforms, operational calculus (44-XX) 28 Mechanics of deformable solids (74-XX) 22 Numerical analysis (65-XX) 17 Biology and other natural sciences (92-XX) 15 Quantum theory (81-XX) 14 General and overarching topics; collections (00-XX) 10 Geophysics (86-XX) 9 Operator theory (47-XX) 8 Potential theory (31-XX) 7 Fluid mechanics (76-XX) 7 Relativity and gravitational theory (83-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral equations (45-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 267 Publications have been cited 6,670 times in 2,130 Documents Cited by ▼ Year ▼ A global uniqueness theorem for an inverse boundary value problem. Zbl 0625.35078 Sylvester, John; Uhlmann, Gunther 490 1987 Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339 Uhlmann, G. 190 2009 The Calderón problem with partial data. Zbl 1127.35079 Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 155 2007 Determining anisotropic real-analytic conductivities by boundary measurements. Zbl 0702.35036 Lee, John M.; Uhlmann, Gunther 135 1989 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327 Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 106 2009 On nonuniqueness for Calderón’s inverse problem. Zbl 1054.35127 Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther 102 2003 Thermoacoustic tomography with variable sound speed. Zbl 1177.35256 Stefanov, Plamen; Uhlmann, Gunther 101 2009 Recovering a potential from partial Cauchy data. Zbl 0998.35063 Bukhgeim, Alexander L.; Uhlmann, Gunther 99 2002 Two dimensional compact simple Riemannian manifolds are boundary distance rigid. Zbl 1076.53044 Pestov, Leonid; Uhlmann, Gunther 98 2005 Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations. Zbl 1396.35074 Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 90 2018 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167 Brown, Russell M.; Uhlmann, Gunther A. 88 1997 Lagrangian intersection and the Cauchy problem. Zbl 0396.58006 Melrose, R. B.; Uhlmann, G. A. 87 1979 An \(n\)-dimensional Borg-Levinson theorem. Zbl 0644.35095 Nachman, Adrian; Sylvester, John; Uhlmann, Gunther 83 1988 Cloaking devices, electromagnetic wormholes, and transformation optics. Zbl 1158.78004 Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 82 2009 The inverse problem for the local geodesic ray transform. Zbl 1350.53098 Uhlmann, Gunther; Vasy, András 79 2016 On determining a Riemannian manifold from the Dirichlet-to-Neumann map. Zbl 0992.35120 Lassas, Matti; Uhlmann, Gunther 78 2001 Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096 dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 77 2007 Estimates for singular Radon transforms and pseudodifferential operators with singular symbols. Zbl 0717.44001 Greenleaf, Allan; Uhlmann, Gunther 76 1990 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530 Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 74 2020 Boundary rigidity and stability for generic simple metrics. Zbl 1079.53061 Stefanov, Plamen; Uhlmann, Gunther 72 2005 The Calderón problem with partial data in two dimensions. Zbl 1201.35183 Imanuvilov, Oleg Yu.; Uhlmann, Gunther; Yamamoto, Masahiro 70 2010 Stability estimates for the \(X\)-ray transform of tensor fields and boundary rigidity. Zbl 1058.44003 Stefanov, Plamen; Uhlmann, Gunther 67 2004 Oscillatory integrals with singular symbols. Zbl 0462.58030 Guillemin, V.; Uhlmann, G. 67 1981 Invisibility and inverse problems. Zbl 1159.35074 Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 67 2009 Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field. Zbl 0843.35134 Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther 65 1995 A uniqueness theorem for an inverse boundary value problem in electrical prospection. Zbl 0611.35088 Sylvester, John; Uhlmann, Gunther 65 1986 Inverse boundary value problems at the boundary-continuous dependence. Zbl 0632.35074 Sylvester, John; Uhlmann, Gunther 64 1988 Inverse problems: seeing the unseen. Zbl 1325.35286 Uhlmann, Gunther 63 2014 Global uniqueness for an inverse boundary problem arising in elasticity. Zbl 0814.35147 Nakamura, Gen; Uhlmann, Gunther 62 1994 Inverse diffusion theory of photoacoustics. Zbl 1197.35311 Bal, Guillaume; Uhlmann, Gunther 60 2010 Nonlocal inversion formulas for the X-ray transform. Zbl 0668.44004 Greenleaf, Allan; Uhlmann, Gunther 59 1989 Inverse problems in quasilinear anisotropic media. Zbl 0886.35176 Sun, Ziqi; Uhlmann, Gunther 58 1997 Full-wave invisibility of active devices at all frequencies. Zbl 1151.78006 Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 58 2007 A remark on partial data inverse problems for semilinear elliptic equations. Zbl 1431.35246 Krupchyk, Katya; Uhlmann, Gunther 56 2020 Inverse problems for semilinear wave equations on Lorentzian manifolds. Zbl 1409.58019 Lassas, Matti; Uhlmann, Gunther; Wang, Yiran 56 2018 The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012 Lassas, Matti; Taylor, Michael; Uhlmann, Gunther 53 2003 Boundary rigidity with partial data. Zbl 1335.53055 Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras 50 2016 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316 Liu, Hongyu; Uhlmann, Gunther 48 2015 Tensor tomography on surfaces. Zbl 1275.53067 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 48 2013 Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map. Zbl 1088.53027 Stefanov, Plamen; Uhlmann, Gunther 47 2005 Uniqueness and reconstruction for the fractional Calderón problem with a single measurement. Zbl 1452.35255 Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther 47 2020 Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions. Zbl 1273.35308 Bal, Guillaume; Uhlmann, Gunther 47 2013 The X-ray transform for a generic family of curves and weights. Zbl 1148.53055 Frigyik, Bela; Stefanov, Plamen; Uhlmann, Gunther 46 2008 Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media. Zbl 0915.35066 Stefanov, Plamen; Uhlmann, Gunther 45 1998 On characterization of the range and inversion formulas for the geodesic X-ray transform. Zbl 1075.44003 Pestov, Leonid; Uhlmann, Gunther 44 2004 Thermoacoustic tomography arising in brain imaging. Zbl 1220.35195 Stefanov, Plamen; Uhlmann, Gunther 41 2011 Recovery of a source term or a speed with one measurement and applications. Zbl 1302.35453 Stefanov, Plamen; Uhlmann, Gunther 41 2013 Recovering singularities of a potential from singularities of scattering data. Zbl 0790.35112 Greenleaf, Allan; Uhlmann, Gunther 40 1993 Complex geometrical optics solutions for Lipschitz conductivities. Zbl 1055.35144 Päivärinta, Lassi; Panchenko, Alexander; Uhlmann, Gunther 40 2003 Semiglobal boundary rigidity for Riemannian metrics. Zbl 1331.53066 Lassas, Matti; Sharafutdinov, Vladimir; Uhlmann, Gunther 38 2003 Tensor tomography: progress and challenges. Zbl 1303.92053 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 38 2014 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086 Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 37 2011 Integral geometry of tensor fields on a class of non-simple Riemannian manifolds. Zbl 1151.53033 Stefanov, Plamen; Uhlmann, Gunther 37 2008 Identification of Lamé parameters by boundary measurements. Zbl 0803.35164 Nakamura, Gen; Uhlmann, Gunther 36 1993 Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential. Zbl 1295.35366 Krupchyk, Katsiaryna; Uhlmann, Gunther 36 2014 The boundary rigidity problem in the presence of a magnetic field. Zbl 1131.53047 Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen; Uhlmann, Gunther 36 2007 An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029 Qian, Jianliang; Stefanov, Plamen; Uhlmann, Gunther; Zhao, Hongkai 36 2011 The attenuated ray transform on simple surfaces. Zbl 1238.53058 Salo, Mikko; Uhlmann, Gunther 36 2011 Inverting the local geodesic X-ray transform on tensors. Zbl 1527.53063 Stefanov, Plamen; Uhlmann, Gunther; Vasy, András 35 2018 Rigidity for metrics with the same lengths of geodesics. Zbl 0934.53031 Stefanov, Plamen; Uhlmann, Gunther 35 1998 Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds. Zbl 1247.53049 Stefanov, Plamen; Uhlmann, Gunther 34 2009 Determining a first order perturbation of the biharmonic operator by partial boundary measurements. Zbl 1239.35184 Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther 33 2012 Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms. Zbl 0695.58026 Greenleaf, A.; Uhlmann, G. 32 1990 Inverse boundary value problems for the perturbed polyharmonic operator. Zbl 1317.35295 Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther 32 2014 Inverse problems at the boundary for an elastic medium. Zbl 0840.35122 Nakamura, Gen; Uhlmann, Gunther 30 1995 Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities. Zbl 1459.35399 Krupchyk, Katya; Uhlmann, Gunther 30 2020 The attenuated ray transform for connections and Higgs fields. Zbl 1256.53021 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 29 2012 The geodesic X-ray transform with matrix weights. Zbl 1440.53083 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Günther; Zhou, Hanming 28 2019 The Calderón problem for conormal potentials. I: Global uniqueness and reconstruction. Zbl 1061.35165 Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther 28 2003 Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Zbl 1328.53099 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 28 2015 The geodesic X-ray transform with fold caustics. Zbl 1271.53070 Stefanov, Plamen; Uhlmann, Gunther 28 2012 Nonlinear interaction of waves in elastodynamics and an inverse problem. Zbl 1441.35262 de Hoop, Maarten; Uhlmann, Gunther; Wang, Yiran 27 2020 Generic uniqueness for an inverse boundary value problem. Zbl 0728.35132 Sun, Ziqi; Uhlmann, Gunther 26 1991 An inverse source problem in optical molecular imaging. Zbl 1171.35126 Stefanov, Plamen; Uhlmann, Gunther 26 2008 The Dirichlet to Neumann map and applications. Zbl 0713.35100 Sylvester, John; Uhlmann, Gunther 25 1990 Increasing stability in an inverse problem for the acoustic equation. Zbl 1302.65243 Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan 25 2013 Quantitative thermo-acoustics and related problems. Zbl 1217.35207 Bal, Guillaume; Ren, Kui; Uhlmann, Gunther; Zhou, Ting 25 2011 The Calderón problem for quasilinear elliptic equations. Zbl 1457.35093 Muñoz, Claudio; Uhlmann, Gunther 25 2020 Recovery of singularities for formally determined inverse problems. Zbl 0795.35142 Sun, Ziqi; Uhlmann, Gunther 24 1993 Is a curved flight path in SAR better than a straight one? Zbl 1291.35448 Stefanov, Plamen; Uhlmann, Gunther 24 2013 Microlocal structure of involutive conical refraction. Zbl 0422.58026 Melrose, R. B.; Uhlmann, G. A. 24 1979 Approximate quantum and acoustic cloaking. Zbl 1257.35156 Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 24 2011 The geodesic ray transform on Riemannian surfaces with conjugate points. Zbl 1319.53086 Monard, François; Stefanov, Plamen; Uhlmann, Gunther 22 2015 Inverse boundary value problems and applications. Zbl 0787.35123 Uhlmann, Gunther 22 1992 Inside out: Inverse problems and applications. Zbl 1034.78003 22 2003 Inverse problems with partial data in a slab. Zbl 1200.35331 Li, Xiaosheng; Uhlmann, Gunther 22 2010 On the linearized local Calderón problem. Zbl 1198.31003 Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 22 2009 Reconstructing discontinuities using complex geometrical optics solutions. Zbl 1146.35097 Uhlmann, Gunther; Wang, Jenn-Nan 22 2008 Developments in inverse problems since Calderón’s foundational paper. Zbl 0963.35203 Uhlmann, Gunther 21 1999 Reconstruction of the potential from partial Cauchy data for the Schrödinger equation. Zbl 1051.35103 Ammari, Habib; Uhlmann, Gunther 21 2004 Anisotropic inverse problems in two dimensions. Zbl 1054.35139 Sun, Ziqi; Uhlmann, Gunther 21 2003 Boundary and lens rigidity, tensor tomography and analytic microlocal analysis. Zbl 1138.53039 Stefanov, Plamen; Uhlmann, Gunther 21 2007 Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain. Zbl 1238.35188 Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther 21 2012 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 20 2019 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 20 2017 Spectral rigidity and invariant distributions on Anosov surfaces. Zbl 1304.37021 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 20 2014 Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries. Zbl 1396.58022 Krupchyk, Katya; Uhlmann, Gunther 19 2018 Inverse boundary value problems for partial differential equations. Zbl 0906.35111 Uhlmann, Gunther 19 1998 Rigidity of broken geodesic flow and inverse problems. Zbl 1206.53073 Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 19 2010 The Calderón inverse problem for isotropic quasilinear conductivities. Zbl 1479.35943 Cârstea, Cătălin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther 19 2021 Partial data inverse problems for quasilinear conductivity equations. Zbl 1512.35665 Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther 12 2023 Geometric inverse problems. With emphasis on two dimensions. Zbl 1519.35005 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 6 2023 An inverse boundary value problem arising in nonlinear acoustics. Zbl 1515.35358 Uhlmann, Gunther; Zhang, Yang 2 2023 Recovery of nonlinear terms for reaction diffusion equations from boundary measurements. Zbl 1506.35277 Kian, Yavar; Uhlmann, Gunther 2 2023 The higher order fractional Calderón problem for linear local operators: uniqueness. Zbl 1486.35462 Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse; Uhlmann, Gunther 15 2022 Inverse problem for Einstein-scalar field equations. Zbl 1504.35647 Kurylev, Yaroslav; Lassas, Matti; Oksanen, Lauri; Uhlmann, Gunther 11 2022 An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds. Zbl 1496.35450 Hintz, Peter; Uhlmann, Gunther; Zhai, Jian 10 2022 Nonlinear ultrasound imaging modeled by a Westervelt equation. Zbl 1486.35458 Acosta, Sebastian; Uhlmann, Gunther; Zhai, Jian 6 2022 Inverse scattering for critical semilinear wave equations. Zbl 1500.35220 Sá Barreto, Antônio; Uhlmann, Gunther; Wang, Yiran 6 2022 Inverse boundary value problems for wave equations with quadratic nonlinearities. Zbl 07450446 Uhlmann, Gunther; Zhang, Yang 4 2022 The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds. Zbl 1505.35367 Hintz, Peter; Uhlmann, Gunther; Zhai, Jian 4 2022 Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators. Zbl 1491.35448 Bhattacharyya, Sombuddha; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 2 2022 An inverse problem for a quasilinear convection-diffusion equation. Zbl 1503.35285 Feizmohammadi, Ali; Kian, Yavar; Uhlmann, Gunther 2 2022 The Calderón inverse problem for isotropic quasilinear conductivities. Zbl 1479.35943 Cârstea, Cătălin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther 19 2021 Inverse problems for the fractional-Laplacian with lower order non-local perturbations. Zbl 1461.35223 Bhattacharyya, S.; Ghosh, T.; Uhlmann, G. 19 2021 Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge. Zbl 1482.53056 Stefanov, Plamen; Uhlmann, Gunther; Vasy, András 19 2021 On an inverse boundary value problem for a nonlinear elastic wave equation. Zbl 1476.35338 Uhlmann, Gunther; Zhai, Jian 14 2021 Reconstruction of the collision kernel in the nonlinear Boltzmann equation. Zbl 1459.35400 Lai, Ru-Yu; Uhlmann, Gunther; Yang, Yang 13 2021 Inverse problems for nonlinear hyperbolic equations. Zbl 1458.35486 Uhlmann, Gunther; Zhai, Jian 10 2021 Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds. Zbl 1478.35237 Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther 6 2021 The transmission problem in linear isotropic elasticity. Zbl 1467.35017 Stefanov, Plamen; Uhlmann, Gunther; Vasy, András 6 2021 Optimality of increasing stability for an inverse boundary value problem. Zbl 1483.35086 Kow, Pu-Zhao; Uhlmann, Gunther; Wang, Jenn-Nan 3 2021 Generic uniqueness and stability for the mixed ray transform. Zbl 1477.53070 De Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther; Zhai, Jian 2 2021 Recovery of discontinuous Lamé parameters from exterior Cauchy data. Zbl 1470.35430 Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 2 2021 Travel time tomography in stationary spacetimes. Zbl 1475.53084 Uhlmann, Gunther; Yang, Yang; Zhou, Hanming 1 2021 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530 Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 74 2020 A remark on partial data inverse problems for semilinear elliptic equations. Zbl 1431.35246 Krupchyk, Katya; Uhlmann, Gunther 56 2020 Uniqueness and reconstruction for the fractional Calderón problem with a single measurement. Zbl 1452.35255 Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther 47 2020 Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities. Zbl 1459.35399 Krupchyk, Katya; Uhlmann, Gunther 30 2020 Nonlinear interaction of waves in elastodynamics and an inverse problem. Zbl 1441.35262 de Hoop, Maarten; Uhlmann, Gunther; Wang, Yiran 27 2020 The Calderón problem for quasilinear elliptic equations. Zbl 1457.35093 Muñoz, Claudio; Uhlmann, Gunther 25 2020 Determination of space-time structures from gravitational perturbations. Zbl 1450.83002 Uhlmann, Gunther; Wang, Yiran 17 2020 The light ray transform on Lorentzian manifolds. Zbl 1452.44006 Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther 8 2020 Recovery of material parameters in transversely isotropic media. Zbl 1437.74009 de Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András 2 2020 Convolutional neural networks in phase space and inverse problems. Zbl 1458.35485 Uhlmann, Gunther; Wang, Yiran 2 2020 The geodesic X-ray transform with matrix weights. Zbl 1440.53083 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Günther; Zhou, Hanming 28 2019 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 20 2019 Inverse problems for the stationary transport equation in the diffusion scaling. Zbl 1437.35707 Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther 16 2019 Reconstruction of Lorentzian manifolds from boundary light observation sets. Zbl 1430.53022 Hintz, Peter; Uhlmann, Gunther 16 2019 Travel time tomography. Zbl 1421.53077 Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras; Zhou, Hanming 13 2019 Scattering control for the wave equation with unknown wave speed. Zbl 1412.35377 Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 12 2019 Nonlinear responses from the interaction of two progressing waves at an interface. Zbl 1409.58018 de Hoop, Maarten; Uhlmann, Gunther; Wang, Yiran 10 2019 Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit. Zbl 1428.35682 Krupchyk, Katya; Uhlmann, Gunther 9 2019 X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds. (Transformée en rayons X et rigidité du bord pour les variétés asymptotiquement hyperboliques.) Zbl 1453.35190 Graham, C. Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther 6 2019 Reconstruction of piecewise smooth wave speeds using multiple scattering. Zbl 1426.35237 Caday, Peter; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 4 2019 Inverting the local geodesic ray transform of higher rank tensors. Zbl 1427.35349 De Hoop, Maarten V.; Uhlmann, Gunther; Zhai, Jian 3 2019 Lens rigidity for a particle in a Yang-Mills field. Zbl 1415.53011 Paternain, Gabriel P.; Uhlmann, Gunther; Zhou, Hanming 3 2019 Complex geometrical optics and Calderón’s problem. Zbl 1428.78005 Uhlmann, Gunther 1 2019 Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations. Zbl 1396.35074 Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 90 2018 Inverse problems for semilinear wave equations on Lorentzian manifolds. Zbl 1409.58019 Lassas, Matti; Uhlmann, Gunther; Wang, Yiran 56 2018 Inverting the local geodesic X-ray transform on tensors. Zbl 1527.53063 Stefanov, Plamen; Uhlmann, Gunther; Vasy, András 35 2018 Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries. Zbl 1396.58022 Krupchyk, Katya; Uhlmann, Gunther 19 2018 On the microlocal analysis of the geodesic X-ray transform with conjugate points. Zbl 1387.53100 Holman, Sean; Uhlmann, Gunther 14 2018 Local recovery of the compressional and shear speeds from the hyperbolic DN map. Zbl 1516.35537 Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras 13 2018 On the inverse problem of finding cosmic strings and other topological defects. Zbl 1391.83144 Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther 12 2018 Inverse problems for advection diffusion equations in admissible geometries. Zbl 1405.35235 Krupchyk, Katya; Uhlmann, Gunther 8 2018 Inversion formulas and range characterizations for the attenuated geodesic ray transform. Zbl 1393.35284 Assylbekov, Yernat M.; Monard, François; Uhlmann, Gunther 8 2018 Propagation and recovery of singularities in the inverse conductivity problem. Zbl 1388.35225 Greenleaf, Allan; Lassas, Matti; Santacesaria, Matteo; Siltanen, Samuli; Uhlmann, Gunther 7 2018 Quantitative analysis of metal artifacts in X-ray tomography. Zbl 1409.35236 Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran 4 2018 Tensor tomography in periodic slabs. Zbl 1395.44007 Ilmavirta, Joonas; Uhlmann, Gunther 4 2018 Superdimensional metamaterial resonators from sub-Riemannian geometry. Zbl 1396.35014 Greenleaf, Allan; Kettunen, Henrik; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther 2 2018 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 20 2017 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 12 2017 Reducing streaking artifacts in quantitative susceptibility mapping. Zbl 1397.35346 Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran 3 2017 An inverse problem from condensed matter physics. Zbl 1516.35521 Lai, Ru-Yu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther 2 2017 Absolute continuity of the periodic Schrödinger operator in transversal geometry. Zbl 1368.35080 Krupchyk, Katsiaryna; Uhlmann, Gunther 1 2017 The inverse problem for the local geodesic ray transform. Zbl 1350.53098 Uhlmann, Gunther; Vasy, András 79 2016 Boundary rigidity with partial data. Zbl 1335.53055 Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras 50 2016 The X-ray transform for connections in negative curvature. Zbl 1343.53078 Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 15 2016 The Calderón problem with partial data for conductivities with 3/2 derivatives. Zbl 1362.35335 Krupchyk, Katya; Uhlmann, Gunther 11 2016 Inverse boundary problems for polyharmonic operators with unbounded potentials. Zbl 1345.35139 Krupchyk, Katsiaryna; Uhlmann, Gunther 11 2016 On the stable recovery of a metric from the hyperbolic DN map with incomplete data. Zbl 1348.35329 Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras 7 2016 Local analytic regularity in the linearized Calderón problem. Zbl 1342.35456 Sjöstrand, Johannes; Uhlmann, Gunther 6 2016 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316 Liu, Hongyu; Uhlmann, Gunther 48 2015 Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Zbl 1328.53099 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 28 2015 The geodesic ray transform on Riemannian surfaces with conjugate points. Zbl 1319.53086 Monard, François; Stefanov, Plamen; Uhlmann, Gunther 22 2015 Diffraction from conormal singularities. (Diffraction par singularités conormales.) Zbl 1322.58025 De Hoop, Maarten; Uhlmann, Gunther; Vasy, András 17 2015 Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane. Zbl 1309.35085 Lai, Ru-Yu; Uhlmann, Gunther; Wang, Jenn-Nan 14 2015 Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. Zbl 1325.35209 Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther 13 2015 On the range of the attenuated ray transform for unitary connections. Zbl 1369.44003 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 11 2015 Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields. Zbl 1329.35344 Bal, Guillaume; Monard, François; Uhlmann, Gunther 10 2015 The Neumann-to-Dirichlet map in two dimensions. Zbl 1321.35024 Imanuvilov, O. Yu.; Uhlmann, Gunther; Yamamoto, M. 10 2015 Regularized transformation-optics cloaking in acoustic and electromagnetic scattering. Zbl 1346.35191 Liu, Hongyu; Uhlmann, Gunther 9 2015 The point source inverse back-scattering problem. Zbl 1334.35433 Rakesh; Uhlmann, Gunther 4 2015 On \(L^p\) resolvent estimates for elliptic operators on compact manifolds. Zbl 1327.58023 Krupchyk, Katsiaryna; Uhlmann, Gunther 4 2015 An inverse kinematic problem with internal sources. Zbl 1320.86006 Pestov, Leonid; Uhlmann, Gunther; Zhou, Hanming 4 2015 Wave phenomena. 2nd edition. Zbl 1331.94023 Lassas, Matti; Salo, Mikko; Uhlmann, Gunther 1 2015 Inverse problems and imaging. Lectures of the workshop, Paris, France, February 20–22, 2013. Zbl 1326.35008 1 2015 Inverse problems: seeing the unseen. Zbl 1325.35286 Uhlmann, Gunther 63 2014 Tensor tomography: progress and challenges. Zbl 1303.92053 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 38 2014 Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential. Zbl 1295.35366 Krupchyk, Katsiaryna; Uhlmann, Gunther 36 2014 Inverse boundary value problems for the perturbed polyharmonic operator. Zbl 1317.35295 Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther 32 2014 Spectral rigidity and invariant distributions on Anosov surfaces. Zbl 1304.37021 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 20 2014 30 years of Calderón’s problem. Zbl 1331.35394 Uhlmann, Gunther 13 2014 Uniqueness for the inverse backscattering problem for angularly controlled potentials. Zbl 1294.33016 Rakesh; Uhlmann, Gunther 13 2014 Increasing stability of the inverse boundary value problem for the Schrödinger equation. Zbl 1330.35531 Isakov, V.; Nagayasu, S.; Uhlmann, G.; Wang, J.-N. 12 2014 Photoacoustic and thermoacoustic tomography with an uncertain wave speed. Zbl 1402.35314 Oksanen, Lauri; Uhlmann, Gunther 8 2014 Tensor tomography on surfaces. Zbl 1275.53067 Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther 48 2013 Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions. Zbl 1273.35308 Bal, Guillaume; Uhlmann, Gunther 47 2013 Recovery of a source term or a speed with one measurement and applications. Zbl 1302.35453 Stefanov, Plamen; Uhlmann, Gunther 41 2013 ...and 167 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,836 Authors 137 Uhlmann, Gunther Alberto 68 Lassas, Matti J. 59 Liu, Hongyu 52 Salo, Mikko 44 de Hoop, Maarten V. 40 Oksanen, Lauri 40 Stefanov, Plamen D. 38 Kian, Yavar 35 Wang, Jenn-Nan 28 Bellassoued, Mourad 26 Yamamoto, Masahiro 25 Hyvönen, Nuutti 24 Ilmavirta, Joonas 24 Nakamura, Gen 23 Lin, Yi-Hsuan 22 Kurylëv, Yaroslav Vadimovich 22 Lai, Ru-Yu 21 Krishnan, Venkateswaran P. 21 Tzou, Leo 20 Harrach, Bastian 20 Paternain, Gabriel Pedro 19 Deng, Youjun 19 Greenleaf, Allan 19 Monard, François 18 Choulli, Mourad 18 Feizmohammadi, Ali 18 Li, Jingzhi 18 Yang, Yang 17 Bal, Guillaume 17 Rüland, Angkana 17 Siltanen, Samuli 16 Ammari, Habib 16 Li, Jichun 16 Quinto, Eric Todd 16 Santacesaria, Matteo 16 Soccorsi, Eric 16 Sun, Ziqi 16 Vasy, András 15 Knudsen, Kim M. 15 Wang, Yiran 14 Alberti, Giovanni S. 14 Belishev, Mikhail Igorevitch 14 Garde, Henrik 14 Guillarmou, Colin 14 Haltmeier, Markus 14 Isakov, Victor M. 14 Li, Qin 14 Päivärinta, Lassi 14 Zhai, Jian 13 Alessandrini, Giovanni 13 Caro, Pedro 13 Hu, Guanghui 13 Imanuvilov, Oleg Yu. 13 Isozaki, Hiroshi 13 Li, Peijun 13 Sini, Mourad 13 Yang, Wei 12 Cârstea, Cătălin Ion 12 Ghosh, Tuhin 12 Huang, Yunqing 12 Liimatainen, Tony 12 Lin, Ching-Lung 12 Nguyen, Loc Hoang 12 Novikov, Roman G. 12 Ramm, Alexander G. 12 Triki, Faouzi 11 Assylbekov, Yernat M. 11 Felea, Raluca 11 Guo, Yukun 11 Klibanov, Michael V. 11 Nguyen, Hoai-Minh 11 Railo, Jesse 11 Scherzer, Otmar 11 Vogelius, Michael S. 11 Zhou, Hanming 10 Bao, Gang 10 Chung, Francis J. 10 Gaburro, Romina 10 Holman, Sean F. 10 Krupchyk, Katya 10 Kuchment, Peter A. 10 Lefeuvre, Thibault 10 Liu, Genqian 10 Mishra, Rohit Kumar 10 Ren, Kui 10 Serov, Valery S. 10 Tamasan, Alexandru 10 Vashisth, Manmohan 10 Wang, Xianchao 10 Zhong, Yimin 9 Blåsten, Emilia L. K. 9 Ivanov, Sergei Vladimirovich 9 Kow, Pu-Zhao 9 Krupchyk, Katsiaryna 9 Kunyansky, Leonid A. 9 Milton, Graeme Walter 9 Ruiz, Alberto 9 Sá Barreto, Antônio 9 Saksala, Teemu 9 Tyni, Teemu ...and 1,736 more Authors all top 5 Cited in 301 Serials 185 Inverse Problems 133 Inverse Problems and Imaging 89 Communications in Partial Differential Equations 88 SIAM Journal on Mathematical Analysis 73 Journal of Differential Equations 54 Journal of Inverse and Ill-Posed Problems 53 Journal of Mathematical Analysis and Applications 53 SIAM Journal on Imaging Sciences 50 Applicable Analysis 46 Communications in Mathematical Physics 45 The Journal of Geometric Analysis 42 Journal of Functional Analysis 42 SIAM Journal on Applied Mathematics 34 Journal of Computational Physics 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Proceedings of the American Mathematical Society 27 Transactions of the American Mathematical Society 25 Archive for Rational Mechanics and Analysis 25 Inverse Problems in Science and Engineering 23 Journal of Mathematical Physics 20 Duke Mathematical Journal 20 Mathematische Annalen 20 Journal of Spectral Theory 18 Mathematical Methods in the Applied Sciences 18 Advances in Mathematics 18 The Journal of Fourier Analysis and Applications 17 Annales de l’Institut Fourier 16 Journal of Computational and Applied Mathematics 15 Computers & Mathematics with Applications 14 Wave Motion 13 Calculus of Variations and Partial Differential Equations 13 Annales Henri Poincaré 11 Communications on Pure and Applied Mathematics 11 Inventiones Mathematicae 11 SIAM Journal on Scientific Computing 11 Analysis & PDE 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Revista Matemática Iberoamericana 9 Applied Mathematics Letters 9 Discrete and Continuous Dynamical Systems 9 Multiscale Modeling & Simulation 8 Journal of the American Mathematical Society 8 European Journal of Applied Mathematics 8 Pure and Applied Analysis 7 Journal d’Analyse Mathématique 7 Mathematics of Computation 7 Applied Mathematics and Computation 7 Mathematische Zeitschrift 7 Numerische Mathematik 7 Advances in Applied Mathematics 7 Engineering Analysis with Boundary Elements 7 Journal of Pseudo-Differential Operators and Applications 7 Mathematical Control and Related Fields 7 Electronic Research Archive 6 Nonlinearity 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Applied and Computational Harmonic Analysis 6 Journal of Mathematical Sciences (New York) 6 Doklady Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of the European Mathematical Society (JEMS) 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Complex Variables and Elliptic Equations 6 Research in the Mathematical Sciences 5 Arkiv för Matematik 5 Journal of Geometry and Physics 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Numerical Analysis 5 Acta Mathematicae Applicatae Sinica. English Series 5 Asymptotic Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Bulletin of the American Mathematical Society. New Series 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Oberwolfach Reports 5 Journal de l’École Polytechnique – Mathématiques 5 Mathematics in Engineering 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Mathematische Nachrichten 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Siberian Mathematical Journal 4 Ergodic Theory and Dynamical Systems 4 Mathematical and Computer Modelling 4 Journal of Elasticity 4 Journal of Mathematical Imaging and Vision 4 Advances in Computational Mathematics 4 Taiwanese Journal of Mathematics 4 New Journal of Physics 4 Annals of Mathematics. Second Series 4 Acta Mathematica Sinica. English Series 4 Journal of High Energy Physics 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Communications on Pure and Applied Analysis 4 Journal of the Institute of Mathematics of Jussieu 4 Sibirskie Èlektronnye Matematicheskie Izvestiya 4 Communications in Computational Physics 4 Advances in Applied Mathematics and Mechanics 4 GEM - International Journal on Geomathematics ...and 201 more Serials all top 5 Cited in 53 Fields 1,674 Partial differential equations (35-XX) 416 Numerical analysis (65-XX) 337 Optics, electromagnetic theory (78-XX) 237 Global analysis, analysis on manifolds (58-XX) 191 Differential geometry (53-XX) 165 Mechanics of deformable solids (74-XX) 162 Integral transforms, operational calculus (44-XX) 160 Biology and other natural sciences (92-XX) 118 Operator theory (47-XX) 108 Quantum theory (81-XX) 107 Fluid mechanics (76-XX) 75 Harmonic analysis on Euclidean spaces (42-XX) 61 Information and communication theory, circuits (94-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 55 Functional analysis (46-XX) 50 Potential theory (31-XX) 50 Dynamical systems and ergodic theory (37-XX) 47 Geophysics (86-XX) 46 Integral equations (45-XX) 43 Systems theory; control (93-XX) 35 Functions of a complex variable (30-XX) 34 Ordinary differential equations (34-XX) 27 Statistics (62-XX) 26 Probability theory and stochastic processes (60-XX) 25 Real functions (26-XX) 24 Computer science (68-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Relativity and gravitational theory (83-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Combinatorics (05-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Approximations and expansions (41-XX) 9 General and overarching topics; collections (00-XX) 8 Manifolds and cell complexes (57-XX) 7 Abstract harmonic analysis (43-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 6 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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