10 citations · 22 across the 26 of their papers we have counts for
7 papers · 1 filter
Inverse spectral problems for higher-order coefficients
Mourad Choulli
We establish uniqueness and stability inequalities for the problem of determining the higher-order coefficients of an elliptic operator from the corresponding boundary spectral dat…
Determination of the Schrödinger-Robin operator by incomplete or asymptotic spectral boundary data
Mourad Choulli, Abdelmalek Metidji, Eric Soccorsi
This article deals with the inverse problem of determining the unbounded real-valued electric potential of the Robin Laplacian on a bounded domain of dimension 3 or greater, by inc…
Functional analysis and partial differential equations in spectral Barron spaces
Mourad Choulli, Shuai Lu, Hiroshi Takase
Spectral Barron spaces, constituting a specialized class of function spaces that serve as an interdisciplinary bridge between mathematical analysis, partial differential equations…
Upper bound on the multiplicity of eigenvalues of the Schödinger-Dirichlet operator in dimension two
Mourad Choulli
We establish an upper bound on the multiplicity of eigenvalues of the Schödinger-Dirichlet operator in dimension two. We give a proof based on a generalized Morse Lemma due to Chen…
Quantitative uniqueness of continuation for the Schrödinger equation : explicit dependence on the potential
Mourad Choulli, Hiroshi Takase
We demonstrate a quantitative version of the usual properties related to unique continuation from an interior datum for the Schrödinger equation with bounded or unbounded potential…
Stability for an inverse flux and an inverse boundary coefficient problems
Mourad Choulli, Shuai Lu, Hiroshi Takase
We establish both Lipschitz and logarithmic stability estimates for an inverse flux problem and subsequently apply these results to an inverse boundary coefficient problem. Further…