From the 2 of 8 linked papers with an AI index.
8 papers
Energy decay and weak observability for some evolution systems
Kaïs Ammari, Faouzi Triki
The paper shows that, under suitable conditions, weak observability and energy decay are equivalent properties for a class of dissipative evolution operators, linking stability est…
Weak Observability Characterization for Abstract Wave Equations
Nisrine Charaf, Faouzi Triki
The paper studies weak observability for abstract wave equations generated by skew‑adjoint operators, providing a spectral characterization via a new notion of spectral coercivity…
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…
Direct Problem for Gas Diffusion in Polar Firn with Variable Coefficients
Sophie Moufawad, Nabil Nassif, Faouzi Triki
We consider the mathematical model of gas trapping in deep polar ice (firns), which consists of a parabolic partial differential equation, that can degenerate at one boundary extre…
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…