Zobrazeno 1 - 10
of 214
pro vyhledávání: '"Triki, Faouzi"'
In this paper we are interested in the inverse problem of recovering a compact supported function from its truncated Fourier transform. We derive new Lipschitz stability estimates for the inversion in terms of the truncation parameter. The obtained r
Externí odkaz:
http://arxiv.org/abs/2407.06656
Autor:
Kian, Yavar, Triki, Faouzi
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 restriction to piecewise constant media parameters. Precisely we assume th
Externí odkaz:
http://arxiv.org/abs/2407.05317
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 determining the source from the knowledge of only the imaginary part of the ra
Externí odkaz:
http://arxiv.org/abs/2404.14051
In this paper we consider the time dependent Porous Medium Equation, $u_t = \Delta u^\gamma$ with real polytropic exponent $\gamma>1$, subject to a homogeneous Dirichlet boundary condition. We are interested in recovering $\gamma$ from the knowledge
Externí odkaz:
http://arxiv.org/abs/2402.19056
Autor:
Osses, Axel, Triki, Faouzi
We establish a new spectral inequality for the quantified estimation of the $H^s$-norm, $s\ge 0$ of a finite linear combination of eigenfunctions in a domain in terms of its $H^s$-norm in a strictly open subset of the whole domain. The corresponding
Externí odkaz:
http://arxiv.org/abs/2312.16495
We investigate the radiating resonances for the Helmholtz equation in the two dimensional space in the presence of an unbounded waveguide with a high contrast index of refraction. Using a suitable asymptotic analysis of the Green's function of the pr
Externí odkaz:
http://arxiv.org/abs/2311.00132
Autor:
Karamehmedović, Mirza, Triki, Faouzi
We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems. Precisely, we derive a sufficient and necessary condition under which the series is
Externí odkaz:
http://arxiv.org/abs/2307.08250
Autor:
Karamehmedović, Mirza, Triki, Faouzi
We consider the localization in the eigenfunctions of regular Sturm-Liouville operators. After deriving non-asymptotic and asymptotic lower and upper bounds on the localization coefficient of the eigenfunctions, we characterize the landscape function
Externí odkaz:
http://arxiv.org/abs/2306.16137
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 propose a regularization method to compute the inverse Laplace transform us
Externí odkaz:
http://arxiv.org/abs/2304.08057
In this work we derive a posteriori error estimates for the convection-diffusion-reaction equation coupled with the Darcy-Forchheimer problem by a nonlinear external source depending on the concentration of the fluid. We introduce the variational for
Externí odkaz:
http://arxiv.org/abs/2212.13247