15 citations · 126 across the 65 of their papers we have counts for
6 papers · 1 filter
An inverse spectral problem for a fractional Schrödinger operator
Mourad Choulli
We establish that the potential appearing in a fractional Schrödinger operator is uniquely determined by an internal spectral data.
Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential
Mourad Choulli, Abdelmalek Metidji, Éric Soccorsi
This article deals with the uniqueness and stability issues in the inverse problem of determining the unbounded potential of the Schrödinger operator in a bounded domain of dimensi…
Quantitative strong unique continuation for elliptic operators -- application to an inverse spectral problem
Mourad Choulli
Based on the three-ball inequality and the doubling inequality established in [23], we quantify the strong unique continuation established by Koch and Tataru [21] for elliptic oper…
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…
Hölder stability for a semilinear elliptic inverse problem
Mourad Choulli
We are concerned with the problem of determining the nonlinear term in a semilinear elliptic equation by boundary measurements. Precisely, we improve [5, Theorem 1.3], where a loga…
Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements
Mourad Choulli
We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. We give a proof based o…