59 citations · 416 across the 90 of their papers we have counts for
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Heat trace asymptotics and compactness of isospectral potentials for the Dirichlet Laplacian
Mourad Choulli, Laurent Kayser, Yavar Kian +1
Let be a -smooth bounded domain of , , and let the matrix be symmetric and uniformly elliptic. We…
Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains
Yavar Kian, Quang Sang Phan, Eric Soccorsi
We consider the inverse problem of determining the time independent scalar potential of the dynamic Schrödinger equation in an infinite cylindrical domain from one boundary Neumann…
Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide
Mourad Choulli, Yavar Kian, Eric Soccorsi
We prove logarithmic stability in the determination of the time-dependent scalar potential in a 1-periodic quantum cylindrical waveguide, from the boundary measurements of the solu…
Stability of the determination of a coefficient for the wave equation in an infinite wave guide
Yavar Kian
We consider the stability in the inverse problem consisting in the determination of an electric potential , appearing in a Dirichlet initial-boundary value problem for the wave…
Carleman estimate for infinite cylindrical quantum domains and application to inverse problems
Yavar Kian, Quang Sang Phan, Eric Soccorsi
We consider the inverse problem of determining the time independent scalar potential of the dynamic Schrödinger equation in an infinite cylindrical domain, from one Neumann boundar…