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math.NA2024
Estimates on the stability constant for the truncated Fourier transform
Mirza Karamehmedović, 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 are…