## Stefanov, Plamen D.

Compute Distance To:
 Author ID: stefanov.plamen-d Published as: Stefanov, Plamen; Stefanov, P. D.; Stefanov, P.; Stefanov, Plamen D. more...less External Links: MGP
 Documents Indexed: 105 Publications since 1984 2 Contributions as Editor Reviewing Activity: 23 Reviews Co-Authors: 41 Co-Authors with 72 Joint Publications 1,009 Co-Co-Authors
all top 5

### Co-Authors

 35 single-authored 36 Uhlmann, Gunther Alberto 8 Vasy, András 6 Choulli, Mourad 4 Ramm, Alexander G. 4 Tamasan, Alexandru 4 Vodev, Georgi 4 Yang, Yang 3 McDowall, Stephen R. 2 Holman, Sean F. 2 Lassas, Matti J. 2 Monard, François 2 Oksanen, Lauri 2 Qian, Jianliang 2 Zworski, Maciej 1 Assylbekov, Yernat M. 1 Bal, Guillaume 1 Bellassoued, Mourad 1 Chabi, Mohamed 1 Cong, Wenxiang 1 Dairbekov, Nurlan Slyamkhanovich 1 Dos Santos Ferreira, David 1 Finch, David V. 1 Frigyik, Béla A. 1 Georgiev, Vladimir S. 1 Graham, C. Robin 1 Guillarmou, Colin 1 Kian, Yavar 1 Krishnan, Venkateswaran P. 1 Kuchment, Peter A. 1 Luo, Songting 1 Mokhtar-Kharroubi, Mustapha 1 Montalto, Carlos 1 Nakamura, Shu 1 Paternain, Gabriel Pedro 1 Pham, Ha Thanh 1 Sá Barreto, Antônio 1 Schotland, John C. 1 Wang, Ge 1 Zhao, Hongkai 1 Zhong, Yimin 1 Zhou, Hanming
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### Serials

 13 Inverse Problems 8 Inverse Problems and Imaging 5 Communications in Mathematical Physics 4 Journal of Functional Analysis 4 Doklady Bolgarskoĭ Akademii Nauk 4 Communications in Partial Differential Equations 4 SIAM Journal on Mathematical Analysis 3 American Journal of Mathematics 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Analysis & PDE 2 Mathematische Zeitschrift 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Mathematical Research Letters 2 Contemporary Mathematics 2 SIAM Journal on Imaging Sciences 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Serdica 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Séminaire Équations aux Dérivées Partielles 1 Journal of Inverse and Ill-Posed Problems 1 Methods and Applications of Analysis 1 Serdica Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Mathematics in Engineering 1 Pure and Applied Analysis
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### Fields

 81 Partial differential equations (35-XX) 22 Differential geometry (53-XX) 16 Optics, electromagnetic theory (78-XX) 15 Integral transforms, operational calculus (44-XX) 14 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 7 Quantum theory (81-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

93 Publications have been cited 1,364 times in 582 Documents Cited by Year
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
2009
Boundary rigidity and stability for generic simple metrics. Zbl 1079.53061
Stefanov, Plamen; Uhlmann, Gunther
2005
Stability estimates for the $$X$$-ray transform of tensor fields and boundary rigidity. Zbl 1058.44003
Stefanov, Plamen; Uhlmann, Gunther
2004
The X-ray transform for a generic family of curves and weights. Zbl 1148.53055
Frigyik, Bela; Stefanov, Plamen; Uhlmann, Gunther
2008
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map. Zbl 1088.53027
Stefanov, Plamen; Uhlmann, Gunther
2005
Boundary rigidity with partial data. Zbl 1335.53055
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
2016
Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media. Zbl 0915.35066
Stefanov, Plamen; Uhlmann, Gunther
1998
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds. Zbl 1151.53033
Stefanov, Plamen; Uhlmann, Gunther
2008
Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials. Zbl 0653.35049
Stefanov, Plamen D.
1989
Thermoacoustic tomography arising in brain imaging. Zbl 1220.35195
Stefanov, Plamen; Uhlmann, Gunther
2011
The boundary rigidity problem in the presence of a magnetic field. Zbl 1131.53047
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen; Uhlmann, Gunther
2007
Recovery of a source term or a speed with one measurement and applications. Zbl 1302.35453
Stefanov, Plamen; Uhlmann, Gunther
2013
Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds. Zbl 1247.53049
Stefanov, Plamen; Uhlmann, Gunther
2009
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
2011
Rigidity for metrics with the same lengths of geodesics. Zbl 0934.53031
Stefanov, Plamen; Uhlmann, Gunther
1998
Inverting the local geodesic X-ray transform on tensors. Zbl 07008552
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
2018
An inverse boundary value problem for the stationary transport equation. Zbl 0998.35064
Choulli, Mourad; Stefanov, Plamen
1999
Generic uniqueness for two inverse problems in potential scattering. Zbl 0771.35082
Stefanov, Plamen
1992
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
2012
Quasimodes and resonances: sharp lower bounds. Zbl 0952.47013
Stefanov, Plamen
1999
Inverse scattering and inverse boundary value problems for the linear Boltzmann equation. Zbl 0857.35131
Choulli, M.; Stefanov, P.
1996
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
2008
Is a curved flight path in SAR better than a straight one? Zbl 1291.35448
Stefanov, Plamen; Uhlmann, Gunther
2013
The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426
Stefanov, Plamen; Yang, Yang
2018
Stability of the inverse problem in potential scattering at fixed energy. Zbl 0715.35082
Stefanov, Plamen
1990
Boundary and lens rigidity, tensor tomography and analytic microlocal analysis. Zbl 1138.53039
Stefanov, Plamen; Uhlmann, Gunther
2007
Neumann resonances in linear elasticity for an arbitrary body. Zbl 0851.35032
Stefanov, P.; Vodev, G.
1996
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
2010
The geodesic ray transform on Riemannian surfaces with conjugate points. Zbl 1319.53086
Monard, François; Stefanov, Plamen; Uhlmann, Gunther
2015
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
2009
Support theorems for the light ray transform on analytic Lorentzian manifolds. Zbl 1370.53049
Stefanov, Plamen
2017
Inverse backscattering for the acoustic equation. Zbl 0888.35129
Stefanov, Plamen; Uhlmann, Gunther
1997
Sharp upper bounds on the number of the scattering poles. Zbl 1099.35074
Stefanov, Plamen
2006
Stability of coupled-physics inverse problems with one internal measurement. Zbl 1292.65116
Montalto, Carlos; Stefanov, Plamen
2013
Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body. Zbl 0846.35139
Stefanov, P.; Vodev, G.
1995
Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064
Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej
2003
Optical tomography in two dimensions. Zbl 1084.45006
Stefanov, Plamen; Uhlmann, Gunther
2003
Multiwave tomography in a closed domain: averaged sharp time reversal. Zbl 1320.35191
Stefanov, Plamen; Yang, Yang
2015
Linearizing non-linear inverse problems and an application to inverse backscattering. Zbl 1169.65049
Stefanov, Plamen; Uhlmann, Gunther
2009
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering. Zbl 1042.35086
Stefanov, Plamen; Uhlmann, Gunther
2004
Approximating resonances with the complex absorbing potential method. Zbl 1095.35017
Stefanov, Plamen
2005
Local recovery of the compressional and shear speeds from the hyperbolic DN map. Zbl 06850137
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
2018
On the inverse problem of finding cosmic strings and other topological defects. Zbl 1391.83144
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther
2018
Uniqueness and non-uniqueness in inverse radiative transfer. Zbl 1173.35122
Stefanov, Plamen; Tamasan, Alexandru
2009
Weyl asymptotics of the transmission eigenvalues for a constant index of refraction. Zbl 1432.35155
Pham, Ha; Stefanov, Plamen
2014
Stability of the gauge equivalent classes in inverse stationary transport. Zbl 1187.35281
McDowall, Stephen; Stefanov, Plamen; Tamasan, Alexandru
2010
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed. Zbl 1292.35337
Stefanov, Plamen; Uhlmann, Gunther
2013
A uniqueness result for the inverse back-scattering problem. Zbl 0728.35145
Stefanov, Plamen D.
1990
Multiwave tomography with reflectors: Landweber’s iteration. Zbl 1359.35222
Stefanov, Plamen; Yang, Yang
2017
The attenuated geodesic x-ray transform. Zbl 1415.44001
Holman, Sean; Monard, François; Stefanov, Plamen
2018
Resonances near the real axis imply existence of quasimodes. Zbl 0943.35059
Stefanov, Plamen
2000
Reconstruction of the coefficients of the stationary transport equation from boundary measurements. Zbl 0857.35130
Choulli, M.; Stefanov, P.
1996
Microlocal approach to tensor tomography and boundary and lens rigidity. Zbl 1199.53099
Stefanov, Plamen
2008
Sharp upper bounds on the number of resonances near the real axis for trapping systems. Zbl 1040.35055
Stefanov, Plamen
2003
Stability for the multi-dimensional Borg-Levinson theorem with partial spectral data. Zbl 1302.35433
Choulli, Mourad; Stefanov, Plamen
2013
Travel time tomography. Zbl 1421.53077
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras; Zhou, Hanming
2019
Adjoint state method for the identification problem in SPECT: recovery of both the source and the attenuation in the attenuated X-ray transform. Zbl 1296.65185
Luo, Songting; Qian, Jianliang; Stefanov, Plamen
2014
Inverse problems in transport theory. Zbl 1083.45008
Stefanov, Plamen
2003
Inverse scattering problem for the wave equation with time-dependent potential. Zbl 0668.35087
Stefanov, P. D.
1987
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge. Zbl 1482.53056
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
2021
Inverse scattering for the transport equation and relationship between scattering and albedo operators. (Scattering inverse pour l’équation du transport et relations entre les opérateurs de scattering et d’albédo.) Zbl 0827.35139
Choulli, Mourad; Stefanov, Plamen
1995
Inverse scattering problem for the wave equation with time-dependent potential. Zbl 0693.35159
Stefanov, P. D.
1989
Estimates on the residue of the scattering amplitude. Zbl 1060.35097
Stefanov, Plamen
2002
On the stable recovery of a metric from the hyperbolic DN map with incomplete data. Zbl 1348.35329
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
2016
Distribution of resonances for the Neumann problem in linear elasticity outside a ball. Zbl 0805.73016
Stefanov, P.; Vodev, G.
1994
Recent progress on the boundary rigidity problem. Zbl 1113.53027
Stefanov, Plamen; Uhlmann, Gunther
2005
Resonance expansions and Rayleigh waves. Zbl 0987.35097
Stefanov, Plamen
2001
Gauge equivalence in stationary radiative transport through media with varying index of refraction. Zbl 1187.35282
McDowall, Stephen; Stefanov, Plamen; Tamasan, Alexandru
2010
Existence of the scattering operator for dissipative hyperbolic systems with variable multiplicities. Zbl 0676.35055
Stefanov, P.; Georgiev, V.
1988
Spectral and scattering theory for the linear Boltzmann equation in exterior domain. Zbl 0661.45004
Stefanov, Plamen
1988
Stability of the gauge equivalent classes in inverse stationary transport in refractive media. Zbl 1242.45014
McDowall, Stephen; Stefanov, Plamen; Tamasan, Alexandru
2011
Fixed energy inverse scattering for noncompactly supported potentials. Zbl 0783.35082
Ramm, A. G.; Stefanov, P. D.
1993
Lower bound for the number of the Rayleigh resonances for arbitrary body. Zbl 0961.35098
Stefanov, Plamen
2000
Uniqueness of the inverse scattering problem for the wave equation with a potential depending on time. Zbl 0696.35098
Stefanov, Plamen D.
1988
The Newton-Marchenko equation for time-dependent potentials. Zbl 0697.35077
Stefanov, Plamen D.
1988
Multiwave methods via ultrasound. Zbl 1316.35302
Stefanov, Plamen; Uhlmann, Gunther
2013
Thermo- and photoacoustic tomography with variable speed and planar detectors. Zbl 1365.35229
Stefanov, Plamen; Yang, Yang
2017
The light ray transform on Lorentzian manifolds. Zbl 1452.44006
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther
2020
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
2019
Semiclassical sampling and discretization of certain linear inverse problems. Zbl 1453.35195
Stefanov, Plamen
2020
Stability of resonances under smooth perturbations of the boundary. Zbl 0814.35022
Stefanov, P. D.
1994
Inverse scattering problem for moving obstacles. Zbl 0795.35141
Stefanov, Plamen D.
1991
The identification problem for the attenuated X-ray transform. Zbl 1305.44003
Stefanov, Plamen
2014
Sharp stability estimate for the geodesic ray transform. Zbl 1450.44003
Assylbekov, Yernat M.; Stefanov, Plamen
2020
Conditionally stable unique continuation and applications to thermoacoustic tomography. Zbl 1435.35099
Stefanov, Plamen
2019
Inverse problems and applications. Proceedings of two conferences in honour of Gunther Uhlmann’s 60th birthday, Irvine, CA, USA, June 18–22, 2012 and Hangzhou, China, September 17–21, 2012. Zbl 1290.35005
2014
A three-dimensional Ambartsumian-type theorem. Zbl 0769.35043
Ramm, A. G.; Stefanov, P. D.
1992
Inverse scattering problem for a class of moving obstacles. Zbl 0682.35107
Stefanov, P. D.
1989
Weyl type upper bounds on the number of resonances near the real axis for trapped systems. Zbl 1213.35334
Stefanov, Plamen
2001
Modulated luminescence tomography. Zbl 1334.35434
Stefanov, Plamen; Cong, Wenxiang; Wang, Ge
2015
Unicité du problème inverse de diffusion pour l’équation des ondes avec un potentiel dépendant du temps. (Uniqueness of the inverse scattering problem for the wave equation with a potential depending on time). Zbl 0636.35085
Stefanov, Plamen
1987
Scattering amplitude is not a finite-rank kernel. Zbl 0821.35108
Ramm, A. G.; Stefanov, P. D.
1993
The transmission problem in linear isotropic elasticity. Zbl 1467.35017
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
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
2021
The transmission problem in linear isotropic elasticity. Zbl 1467.35017
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
2021
The light ray transform on Lorentzian manifolds. Zbl 1452.44006
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther
2020
Semiclassical sampling and discretization of certain linear inverse problems. Zbl 1453.35195
Stefanov, Plamen
2020
Sharp stability estimate for the geodesic ray transform. Zbl 1450.44003
Assylbekov, Yernat M.; Stefanov, Plamen
2020
Travel time tomography. Zbl 1421.53077
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras; Zhou, Hanming
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
2019
Conditionally stable unique continuation and applications to thermoacoustic tomography. Zbl 1435.35099
Stefanov, Plamen
2019
Inverting the local geodesic X-ray transform on tensors. Zbl 07008552
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
2018
The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426
Stefanov, Plamen; Yang, Yang
2018
Local recovery of the compressional and shear speeds from the hyperbolic DN map. Zbl 06850137
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
2018
On the inverse problem of finding cosmic strings and other topological defects. Zbl 1391.83144
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther
2018
The attenuated geodesic x-ray transform. Zbl 1415.44001
Holman, Sean; Monard, François; Stefanov, Plamen
2018
Support theorems for the light ray transform on analytic Lorentzian manifolds. Zbl 1370.53049
Stefanov, Plamen
2017
Multiwave tomography with reflectors: Landweber’s iteration. Zbl 1359.35222
Stefanov, Plamen; Yang, Yang
2017
Thermo- and photoacoustic tomography with variable speed and planar detectors. Zbl 1365.35229
Stefanov, Plamen; Yang, Yang
2017
Boundary rigidity with partial data. Zbl 1335.53055
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
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
2016
The geodesic ray transform on Riemannian surfaces with conjugate points. Zbl 1319.53086
Monard, François; Stefanov, Plamen; Uhlmann, Gunther
2015
Multiwave tomography in a closed domain: averaged sharp time reversal. Zbl 1320.35191
Stefanov, Plamen; Yang, Yang
2015
Modulated luminescence tomography. Zbl 1334.35434
Stefanov, Plamen; Cong, Wenxiang; Wang, Ge
2015
Weyl asymptotics of the transmission eigenvalues for a constant index of refraction. Zbl 1432.35155
Pham, Ha; Stefanov, Plamen
2014
Adjoint state method for the identification problem in SPECT: recovery of both the source and the attenuation in the attenuated X-ray transform. Zbl 1296.65185
Luo, Songting; Qian, Jianliang; Stefanov, Plamen
2014
The identification problem for the attenuated X-ray transform. Zbl 1305.44003
Stefanov, Plamen
2014
Inverse problems and applications. Proceedings of two conferences in honour of Gunther Uhlmann’s 60th birthday, Irvine, CA, USA, June 18–22, 2012 and Hangzhou, China, September 17–21, 2012. Zbl 1290.35005
2014
Recovery of a source term or a speed with one measurement and applications. Zbl 1302.35453
Stefanov, Plamen; Uhlmann, Gunther
2013
Is a curved flight path in SAR better than a straight one? Zbl 1291.35448
Stefanov, Plamen; Uhlmann, Gunther
2013
Stability of coupled-physics inverse problems with one internal measurement. Zbl 1292.65116
Montalto, Carlos; Stefanov, Plamen
2013
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed. Zbl 1292.35337
Stefanov, Plamen; Uhlmann, Gunther
2013
Stability for the multi-dimensional Borg-Levinson theorem with partial spectral data. Zbl 1302.35433
Choulli, Mourad; Stefanov, Plamen
2013
Multiwave methods via ultrasound. Zbl 1316.35302
Stefanov, Plamen; Uhlmann, Gunther
2013
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
2012
Thermoacoustic tomography arising in brain imaging. Zbl 1220.35195
Stefanov, Plamen; Uhlmann, Gunther
2011
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
2011
Stability of the gauge equivalent classes in inverse stationary transport in refractive media. Zbl 1242.45014
McDowall, Stephen; Stefanov, Plamen; Tamasan, Alexandru
2011
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
2010
Stability of the gauge equivalent classes in inverse stationary transport. Zbl 1187.35281
McDowall, Stephen; Stefanov, Plamen; Tamasan, Alexandru
2010
Gauge equivalence in stationary radiative transport through media with varying index of refraction. Zbl 1187.35282
McDowall, Stephen; Stefanov, Plamen; Tamasan, Alexandru
2010
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
2009
Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds. Zbl 1247.53049
Stefanov, Plamen; Uhlmann, Gunther
2009
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
2009
Linearizing non-linear inverse problems and an application to inverse backscattering. Zbl 1169.65049
Stefanov, Plamen; Uhlmann, Gunther
2009
Uniqueness and non-uniqueness in inverse radiative transfer. Zbl 1173.35122
Stefanov, Plamen; Tamasan, Alexandru
2009
The X-ray transform for a generic family of curves and weights. Zbl 1148.53055
Frigyik, Bela; Stefanov, Plamen; Uhlmann, Gunther
2008
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds. Zbl 1151.53033
Stefanov, Plamen; Uhlmann, Gunther
2008
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
2008
Microlocal approach to tensor tomography and boundary and lens rigidity. Zbl 1199.53099
Stefanov, Plamen
2008
The boundary rigidity problem in the presence of a magnetic field. Zbl 1131.53047
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen; Uhlmann, Gunther
2007
Boundary and lens rigidity, tensor tomography and analytic microlocal analysis. Zbl 1138.53039
Stefanov, Plamen; Uhlmann, Gunther
2007
Sharp upper bounds on the number of the scattering poles. Zbl 1099.35074
Stefanov, Plamen
2006
Boundary rigidity and stability for generic simple metrics. Zbl 1079.53061
Stefanov, Plamen; Uhlmann, Gunther
2005
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map. Zbl 1088.53027
Stefanov, Plamen; Uhlmann, Gunther
2005
Approximating resonances with the complex absorbing potential method. Zbl 1095.35017
Stefanov, Plamen
2005
Recent progress on the boundary rigidity problem. Zbl 1113.53027
Stefanov, Plamen; Uhlmann, Gunther
2005
Stability estimates for the $$X$$-ray transform of tensor fields and boundary rigidity. Zbl 1058.44003
Stefanov, Plamen; Uhlmann, Gunther
2004
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering. Zbl 1042.35086
Stefanov, Plamen; Uhlmann, Gunther
2004
Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064
Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej
2003
Optical tomography in two dimensions. Zbl 1084.45006
Stefanov, Plamen; Uhlmann, Gunther
2003
Sharp upper bounds on the number of resonances near the real axis for trapping systems. Zbl 1040.35055
Stefanov, Plamen
2003
Inverse problems in transport theory. Zbl 1083.45008
Stefanov, Plamen
2003
Estimates on the residue of the scattering amplitude. Zbl 1060.35097
Stefanov, Plamen
2002
Resonance expansions and Rayleigh waves. Zbl 0987.35097
Stefanov, Plamen
2001
Weyl type upper bounds on the number of resonances near the real axis for trapped systems. Zbl 1213.35334
Stefanov, Plamen
2001
Resonances near the real axis imply existence of quasimodes. Zbl 0943.35059
Stefanov, Plamen
2000
Lower bound for the number of the Rayleigh resonances for arbitrary body. Zbl 0961.35098
Stefanov, Plamen
2000
An inverse boundary value problem for the stationary transport equation. Zbl 0998.35064
Choulli, Mourad; Stefanov, Plamen
1999
Quasimodes and resonances: sharp lower bounds. Zbl 0952.47013
Stefanov, Plamen
1999
Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media. Zbl 0915.35066
Stefanov, Plamen; Uhlmann, Gunther
1998
Rigidity for metrics with the same lengths of geodesics. Zbl 0934.53031
Stefanov, Plamen; Uhlmann, Gunther
1998
Inverse backscattering for the acoustic equation. Zbl 0888.35129
Stefanov, Plamen; Uhlmann, Gunther
1997
Inverse scattering and inverse boundary value problems for the linear Boltzmann equation. Zbl 0857.35131
Choulli, M.; Stefanov, P.
1996
Neumann resonances in linear elasticity for an arbitrary body. Zbl 0851.35032
Stefanov, P.; Vodev, G.
1996
Reconstruction of the coefficients of the stationary transport equation from boundary measurements. Zbl 0857.35130
Choulli, M.; Stefanov, P.
1996
Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body. Zbl 0846.35139
Stefanov, P.; Vodev, G.
1995
Inverse scattering for the transport equation and relationship between scattering and albedo operators. (Scattering inverse pour l’équation du transport et relations entre les opérateurs de scattering et d’albédo.) Zbl 0827.35139
Choulli, Mourad; Stefanov, Plamen
1995
Distribution of resonances for the Neumann problem in linear elasticity outside a ball. Zbl 0805.73016
Stefanov, P.; Vodev, G.
1994
Stability of resonances under smooth perturbations of the boundary. Zbl 0814.35022
Stefanov, P. D.
1994
Fixed energy inverse scattering for noncompactly supported potentials. Zbl 0783.35082
Ramm, A. G.; Stefanov, P. D.
1993
Scattering amplitude is not a finite-rank kernel. Zbl 0821.35108
Ramm, A. G.; Stefanov, P. D.
1993
Generic uniqueness for two inverse problems in potential scattering. Zbl 0771.35082
Stefanov, Plamen
1992
A three-dimensional Ambartsumian-type theorem. Zbl 0769.35043
Ramm, A. G.; Stefanov, P. D.
1992
Inverse scattering problem for moving obstacles. Zbl 0795.35141
Stefanov, Plamen D.
1991
Stability of the inverse problem in potential scattering at fixed energy. Zbl 0715.35082
Stefanov, Plamen
1990
A uniqueness result for the inverse back-scattering problem. Zbl 0728.35145
Stefanov, Plamen D.
1990
Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials. Zbl 0653.35049
Stefanov, Plamen D.
1989
Inverse scattering problem for the wave equation with time-dependent potential. Zbl 0693.35159
Stefanov, P. D.
1989
Inverse scattering problem for a class of moving obstacles. Zbl 0682.35107
Stefanov, P. D.
1989
Existence of the scattering operator for dissipative hyperbolic systems with variable multiplicities. Zbl 0676.35055
Stefanov, P.; Georgiev, V.
1988
Spectral and scattering theory for the linear Boltzmann equation in exterior domain. Zbl 0661.45004
Stefanov, Plamen
1988
Uniqueness of the inverse scattering problem for the wave equation with a potential depending on time. Zbl 0696.35098
Stefanov, Plamen D.
1988
The Newton-Marchenko equation for time-dependent potentials. Zbl 0697.35077
Stefanov, Plamen D.
1988
Inverse scattering problem for the wave equation with time-dependent potential. Zbl 0668.35087
Stefanov, P. D.
1987
Unicité du problème inverse de diffusion pour l’équation des ondes avec un potentiel dépendant du temps. (Uniqueness of the inverse scattering problem for the wave equation with a potential depending on time). Zbl 0636.35085
Stefanov, Plamen
1987
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### Cited by 509 Authors

 48 Uhlmann, Gunther Alberto 44 Stefanov, Plamen D. 25 Oksanen, Lauri 22 Lassas, Matti J. 19 Kian, Yavar 18 Bellassoued, Mourad 15 de Hoop, Maarten V. 15 Salo, Mikko 13 Haltmeier, Markus 13 Li, Qin 13 Monard, François 13 Yang, Yang 12 Krishnan, Venkateswaran P. 11 Paternain, Gabriel Pedro 11 Zworski, Maciej 10 Tamasan, Alexandru 9 Feizmohammadi, Ali 9 Quinto, Eric Todd 9 Vasy, András 9 Zhou, Hanming 8 Assylbekov, Yernat M. 8 Bal, Guillaume 8 Lai, Ru-Yu 8 Ren, Kui 8 Soccorsi, Eric 8 Vodev, Georgi 8 Zhai, Jian 7 Bony, Jean-François 7 Ilmavirta, Joonas 7 Sjöstrand, Johannes 7 Vashisth, Manmohan 6 Ben Aïcha, Ibtissem 6 Choulli, Mourad 6 Guillarmou, Colin 6 Holman, Sean F. 6 Hu, Guanghui 6 Kunyansky, Leonid A. 6 Kurylëv, Yaroslav Vadimovich 6 Novikov, Roman G. 6 Ramm, Alexander G. 6 Stoyanov, Luchezar N. 6 Wang, Jenn-Nan 6 Yamamoto, Masahiro 6 Zhong, Yimin 5 Acosta, Sebastian 5 Caro, Pedro 5 Chung, Francis J. 5 Dos Santos Ferreira, David 5 Katsnelson, Vitaly 5 Klibanov, Michael V. 5 Meroño, Cristóbal J. 5 Mishra, Rohit Kumar 5 Petkov, Vesselin M. 5 Ruiz, Alberto 5 Sadiq, Kamran 5 Saksala, Teemu 5 Scherzer, Otmar 5 Sini, Mourad 5 Waters, Alden 4 Barceló, Juan Antonio 4 Caday, Peter 4 Galkowski, Jeffrey 4 Ivanov, Sergei Vladimirovich 4 Li, Peijun 4 Moon, Sunghwan 4 Moradifam, Amir 4 Nguyen, Loc Hoang 4 Noakes, Lyle 4 Osses, Axel 4 Palacios, Benjamín 4 Ramond, Thierry 4 Spence, Euan A. 4 Zhao, Hongkai 3 Bao, Gang 3 Baudouin, Lucie 3 Chen, Ke 3 Christiansen, Tanya J. 3 Ervedoza, Sylvain 3 Fefferman, Charles Louis 3 Felea, Raluca 3 Frikel, Jürgen 3 Fujiié, Setsuro 3 Graham, C. Robin 3 Guo, Yukun 3 Hahn, Bernadette Nadine 3 Isakov, Victor M. 3 Jin, Long 3 Jollivet, Alexandre 3 Krupchyk, Katya 3 Kuchment, Peter A. 3 Lefeuvre, Thibault 3 Liu, Hongyu 3 Mönkkönen, Keijo 3 Nachman, Adrian I. 3 Nakamura, Gen 3 Nolan, Clifford J. 3 Nonnenmacher, Stéphane 3 Potenciano-Machado, Leyter 3 Qian, Jianliang 3 Qiu, Lingyun ...and 409 more Authors
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### Cited in 137 Serials

 56 Inverse Problems 42 Inverse Problems and Imaging 35 SIAM Journal on Mathematical Analysis 28 Communications in Partial Differential Equations 25 Journal of Mathematical Analysis and Applications 21 Communications in Mathematical Physics 20 The Journal of Geometric Analysis 18 SIAM Journal on Imaging Sciences 17 Journal of Differential Equations 16 Journal of Functional Analysis 16 SIAM Journal on Applied Mathematics 13 Journal of Inverse and Ill-Posed Problems 11 Journal of Mathematical Physics 9 Applicable Analysis 8 Journal of Spectral Theory 7 Journal of Computational Physics 6 Archive for Rational Mechanics and Analysis 6 Duke Mathematical Journal 6 Inventiones Mathematicae 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Annales Henri Poincaré 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Journal of the American Mathematical Society 5 The Journal of Fourier Analysis and Applications 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematical Control and Related Fields 4 Advances in Mathematics 4 Annales de l’Institut Fourier 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Numerical Analysis 4 Mathematical and Computer Modelling 4 Inverse Problems in Science and Engineering 3 Communications on Pure and Applied Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 European Journal of Applied Mathematics 3 SIAM Journal on Scientific Computing 3 Annals of Mathematics. Second Series 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Bulletin of Mathematical Sciences 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Acta Mathematica 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Imaging and Vision 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Foundations of Computational Mathematics 2 Analysis & PDE 2 GEM - International Journal on Geomathematics 2 Research in the Mathematical Sciences 2 Séminaire Laurent Schwartz. EDP et Applications 1 Classical and Quantum Gravity 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Wave Motion 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations ...and 37 more Serials
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### Cited in 43 Fields

 435 Partial differential equations (35-XX) 106 Numerical analysis (65-XX) 89 Differential geometry (53-XX) 72 Integral transforms, operational calculus (44-XX) 70 Biology and other natural sciences (92-XX) 65 Quantum theory (81-XX) 63 Optics, electromagnetic theory (78-XX) 59 Operator theory (47-XX) 53 Global analysis, analysis on manifolds (58-XX) 30 Information and communication theory, circuits (94-XX) 27 Mechanics of deformable solids (74-XX) 24 Fluid mechanics (76-XX) 22 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Functional analysis (46-XX) 14 Relativity and gravitational theory (83-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 10 Geophysics (86-XX) 9 Potential theory (31-XX) 9 Ordinary differential equations (34-XX) 9 Systems theory; control (93-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Functions of a complex variable (30-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 7 Astronomy and astrophysics (85-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)