3 citations · 9 across the 7 of their papers we have counts for
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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…
Comments on the quantitative uniqueness of continuation for evolution equations
Mourad Choulli
We establish near-optimal quantitative uniqueness of continuation for solutions of evolution equations vanishing on the lateral boundary. These results were obtained simply by comb…
Stable determination of the initial data in an IBVP for the wave equation outside a non-trapping obstacle
Mourad Choulli
We establish a double logarithmic stability inequality for the problem of determining the initial data in an IBVP for the wave equation outside a non-trapping obstacle from two loc…
Stability inequality for the problem of determining an unbounded potential from boundary measurements
Mourad Choulli
We establish in dimension a stability inequality for the problem of determining the potential in the Schrödinger equation from boundary measurements in the case where the poten…
Uniqueness of continuation for semilinear elliptic equations
Mourad Choulli
We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product we obtain a new s…