15 citations · 126 across the 65 of their papers we have counts for
5 papers · 1 filter
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…
Local boundedness property for parabolic BVP's and the gaussian upper bound for their Green functions
Mourad Choulli
In the present note, we give a concise proof for the equivalence between the local boundedness property for parabolic Dirichlet BVP's and the gaussian upper bound for their Green f…
The problem of detecting corrosion by an electric measurement revisited
Mourad Choulli, Aymen Jbalia
We establish a logarithmic stability estimate for the problem of detecting corrosion by a single electric measurement. We give a proof based on an adaptation of the method initiate…
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…
Gaussian lower bound for the Neumann Green function of ageneral parabolic operator
Mourad Choulli, Laurent Kayser
Based on the fact that the Neumann Green function can be constructed as a perturbation of the fundamental solution by a single-layer potential, we establish gaussian two-sided boun…