30 citations · 50 across the 11 of their papers we have counts for
11 papers
Inverse Boundary Problem for the Two Photon Absorption Transport Equation
Plamen Stefanov, Yimin Zhong
This work studies the inverse boundary problem for the two photon absorption radiative transport equation. We show that the absorption coefficients and scattering coefficients can…
Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime
Antônio Sá Barreto, Plamen Stefanov
We study the inverse problem of recovery a compactly supported non-linearity in the semilinear wave equation , in two and three dimensions. We probe the m…
Sampling linear inverse problems with noise
Plamen Stefanov, Samy Tindel
We study the effect of additive noise to the inversion of FIOs associated to a diffeomorphic canonical relation. We use the microlocal defect measures to measure the power spectrum…
Semiclassical sampling and discretization of certain linear inverse problems
Plamen Stefanov
We study sampling of Fourier Integral Operators at rates with fixed and a small parameter. We show that the Nyquist sampling limit of and are related by t…
The attenuated geodesic X-ray transform
Sean Holman, François Monard, Plamen Stefanov
This article deals with stability issues related to geodesic X-ray transforms, where an interplay between the (attenuation type) weight in the transform and the underlying geometry…
Modulated Luminescent Tomography
Plamen Stefanov, Wenxiang Cong, Ge Wang
We propose and analyze a mathematical model of Modulated Luminescent Tomography. We show that when single X-rays or focused X-rays are used as an excitation, the problem is similar…