weak observability 2dissipative operators 1energy decay 1evolution equations 1infinite-dimensional systems 1resolvent estimates 1skew-adjoint operators 1spectral coercivity 1stability 1wave equation 1
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math.NA2026
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…
math.NA2024
Estimates on the stability constant for the truncated Fourier transform
Mirza KaramehmedoviÄ, Martin Sæbye Carøe, Faouzi Triki
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…
math.NA2024
Recovering the Polytropic Exponent in the Porous Medium Equation: Asymptotic Approach
Hagop Karakazian, Toni Sayah, Faouzi Triki
In this paper we consider the time dependent Porous Medium Equation, with real polytropic exponent , subject to a homogeneous Dirichlet boundary condition. We…