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Plamen D Stefanov

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Publications of Plamen Stefanov

Some Earlier Publications

Recent Publications

Boundary rigidity and stability for generic simple metrics (with Gunther Uhlmann), Journal Amer. Math. Soc. 18(2005), 975–1003.
Approximating resonances with the Complex Absorbing Potential Method, Commun. PDE, 30(2005), 1843–1862.
Sharp upper bounds on the number of the scattering poles, J. Funct. Anal. 231(1)(2006), 111–142.
The boundary rigidity problem in the presence of a magnetic field (with Nurlan Dirbekov, Gabriel Paternain and Gunther Uhlmann), Adv. Math. 216(2)(2007), 535–609.
Microlocal Approach to Tensor Tomography and Boundary and Lens Rigidity, Serdica Math. J., 34(1)(2008), 67–112. An extended version of the mini-course I gave at the Symposium on Inverse Problems, Rio de Janeiro, Jan. 2007.
The X-Ray transform for a generic family of curves and weights, with Bela Frigyik and Gunther Uhlmann, J. Geom. Anal. 18(1)(2008), 81–97.
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds (with Gunther Uhlmann), Amer. J. Math. 130(1)(2008), 239–268.
Boundary and Lens Rigidity, Tensor Tomography and Analytic Microlocal Analysis (with Gunther Uhlmann), in Algebraic Analysis of Differential Equations, Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, pp. 275–293 (2008).
A sharp stability estimate in tensor tomography, J. of Physics: Conference Series, (Vol 124: Proceeding of the First International Congress of the IPIA), 124(2008), 012007.
An inverse source problem in optical molecular imaging (with Gunther Uhlmann), Analysis and PDE, 1(1)(2008), 115-126.
Local lens rigidity with incomplete data for a class of non-simple Riemannian manifolds, (with Gunther Uhlmann), J. Diff. Geom. 82(2)(2009), 383-409.
Linearizing non-linear inverse problems and an application to inverse backscattering (with Gunther Uhlmann), J. Funct. Anal. 256(9)(2009), 2842-2866.
Uniqueness and non-uniqueness in inverse radiative transfer, (with Alexandru Tamasan), Proc. Amer. Math. Soc. 137(2009), 2335-2344.
A support theorem for the geodesic ray transform of symmetric tensor fields (with Venky Krishnan), Inverse Problems and Imaging, 3(3), (2009) 453-464.
Thermoacoustic tomography with variable sound speed (with Gunther Uhlmann), Inverse Prob. 25(2009), 075011.
The weighted Doppler transform (with Sean Holman), to appear in Inverse Problems and Imaging.
Stability of the gauge equivalent classes in stationary Inverse Transport (with Stephen McDowall and Alexandru Tamasan), submitted.
Gauge equivalence in stationary radiative transport through media with varying index of refraction (with Stephen McDowall and Alexandru Tamasan), submitted.

Recent Talks and Lecture Notes

Recovering Anisotropic Metrics from Travel Times, a plenary talk at the First International Congress of IPIA. Conference on Applied Inverse Problems 2007: Theoretical and Computational Aspects
An inverse source problem in optical molecular imaging, talk at the Summer School on Inverse Problems in Radiative Transfer, UC Merced, June 2008.
Traveltime Tomography and Tensor Tomography, MSRI, July 2009, lecture notes. Lecture 1, Lectures 2&3, Lecture 4.
Thermoacoustic Tomography with variable sound speed, Banff, Oct. 2009.

Last updated on October 26, 2009