3 citations · 7 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
Stability estimates for the inverse source problem with passive measurements
Faouzi Triki, Kristoffer Linder-Steinlein, Mirza Karamehmedovic
We consider the multi-frequency inverse source problem in the presence of a non-homogeneous medium using passive measurements. Precisely, we derive stability estimates for determin…
An improved spectral inequality for sums of eigenfunctions
Axel Osses, Faouzi Triki
We establish a new spectral inequality for the quantified estimation of the -norm, of a finite linear combination of eigenfunctions in a domain in terms of its -…
Regularization of the inverse Laplace transform by Mollification
Pierre Maréchal, Faouzi Triki, Walter C. Simo Tao Lee
In this paper we study the inverse Laplace transform. We first derive a new global logarithmic stability estimate that shows that the inversion is severely ill-posed. Then we propo…
Logarithmic stable recovery of the source and the initial state of time fractional diffusion equations
Yavar Kian, Eric Soccorsi, Faouzi Triki
In this paper we study the inverse problem of identifying a source or an initial state in a time-fractional diffusion equation from the knowledge of a single boundary measurement.…
Identification of an inclusion in Multifrequency Electric Impedance Tomography
Habib Ammari, Faouzi Triki
The multifrequency electrical impedance tomography is considered in order to image a conductivity inclusion inside a homogeneous background medium by injecting one current. An orig…