10 citations · 22 across the 26 of their papers we have counts for
8 papers · 1 filter
Two parabolic inverse problems for an equation with unbounded zero-order coefficient
Mourad Choulli
This work is composed of two parts. We prove in the first part the uniqueness of the determination of the unbounded zero-order coefficient in a parabolic equation from boundary mea…
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…
A quantitative Borg-Levinson theorem for a large class of unbounded potentials
Mourad Choulli
We prove a quantitative Borg-Levinson theorem for a large class of unbounded potentials. We give a detailed proof when the dimension of the space is greater than or equal to five.…
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…