From the 2 of 8 linked papers with an AI index.
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Local reconstruction of coefficients in quantitative photo-acoustic tomography
Gang Bao, Mirza Karamehmedovic, Faouzi Triki
We study the problem of reconstructing the scattering and absorption coefficients in the radiative transport equation using internal data in quantitative photo-acoustic tomography…
Stability Estimates for the Inverse Problem of Reconstructing Point sources in Parabolic Equations
Kuang Huang, Bangti Jin, Yavar Kian +1
In this work, we investigate the stability issue of the inverse problem of determining the locations and time-dependent amplitudes of point sources in a parabolic equation with a n…
On exact Observability for Compactly perturbed infinite dimension system
Nisrine Charaf, Faouzi Triki
In this paper, we study the observability of compactly perturbed infinite dimensional systems. Assuming that a given infinite-dimensional system with self-adjoint generator is exac…
An Open Waveguide with a Thin High Contrast Core Layer: Asymptotic Analysis and Inverse Detection Problem
Eric Bonnetier, Matias Courdurier, Axel Osses +1
We investigate the Helmholtz equation in a two dimensional open waveguide with a thin and high contrast core layer. We develop an asymptotic analysis of the Green function of the p…
Localization Coefficients of Functions with Applications in Partial Differential Equations
Mirza KaramehmedoviÄ, Faouzi Triki
We identify shortcomings in two popular measures of localization of functions: the participation ratio and the mass concentration comparison. We then introduce a novel lo…
Recovery of an inclusion in Photoacoustic imaging
Yavar Kian, Faouzi Triki
In photoacoustic imaging the objective is to determine the optical properties of biological tissue from boundary measurement of the generated acoustic wave. Here, we propose a rest…