4 papers · 1 filter
An inverse obstacle problem for the magnetic Schrödinger equation
Mourad Choulli, Hiroshi Takase
We establish stability inequalities of an inverse obstacle problem for the magnetic Schrödinger equation. We mainly study the problem of reconstructing an unknown function defined…
New quantitative unique continuation result for elliptic equations
Mourad Choulli, Hiroshi Takase
We prove a new quantitative unique continuation result for elliptic equations from Cauchy data. We provide a simple and direct proof based only on a Carleman inequality. Similar re…
An inverse hyperbolic obstacle problem
Mourad Choulli, Hiroshi Takase
We establish Hölder stability of an inverse hyperbolic obstacle problem. Mainly, we study the problem of reconstructing an unknown function defined on the boundary of the obstacle…
Lipschitz stability for an elliptic inverse problem with two measurements
Mourad Choulli, Hiroshi Takase
We consider the problem of determining the unknown boundary values of a solution of an elliptic equation outside a bounded open set from the knowledge of the values of this sol…