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4 papers · 2 filters
Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation
Kais Ammari, Mourad Choulli
In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determi…
Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
Aurore Back, Takashi Hattori, Simon Labrunie +2
We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model…
Varying the direction of propagation in reaction-diffusion equations in periodic media
Matthieu Alfaro, Thomas Giletti
We consider a multidimensional reaction-diffusion equation of either ignition or monostable type, involving periodic heterogeneity, and analyze the dependence of the propagation ph…
Double logarithmic stability estimate in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map
Mourad Choulli, Yavar Kian, Eric Soccorsi
We examine the stability issue in the inverse problem of determining a scalar potential appearing in the stationary Schr{ö}dinger equation in a bounded domain, from a partial ellip…