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Let X âŠ‚ R, n â‰¥ 2 be an open bounded set with C boundary âˆ‚X and let us assume also that V âŠ‚ R is open. Denote Î“Â± = {(x, v) âˆˆ âˆ‚X Ã— V ; Â±n(x) Â· v > 0}, where n(x) is the outer normal to âˆ‚X at x âˆˆ âˆ‚X.â€¦ (More)

- Mourad Choulli
- 2012

We prove a stability estimate related to the multi-dimensional Borg-Levinson theorem of determining a potential from spectral data: the Dirichlet eigenvalues Î»k and the normal derivatives âˆ‚Ï†k/âˆ‚Î½ ofâ€¦ (More)

- Mourad Choulli, Yavar Kian
- 2017

We establish a Lipschitz stability estimate for the inverse problem consisting in the determination of the coe cient Ïƒ(t), appearing in a Dirichlet initial-boundary value problem for the parabolicâ€¦ (More)

- Mourad Choulli, Yavar Kian, Eric Soccorsi
- SIAM J. Math. Analysis
- 2015

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 solution to the dynamicâ€¦ (More)

- M. Bellassoued, Mourad Choulli, Aymen Jbalia
- 2012

We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the surface impedance of an obstacle from the scattering amplitude. We present a simpleâ€¦ (More)

We consider the inverse problem of determining the twisting function in a infinite cylindrical twisted waveguide from the corresponding DN map. This problem, which is naturally linked to some inverseâ€¦ (More)

- Mourad Choulli, Faouzi Triki
- SIAM J. Math. Analysis
- 2015

A major problem in solving multi-waves inverse problems is the presence of critical points where the collected data completely vanishes. The set of these critical points depend on the choice of theâ€¦ (More)

- Victor Isakov, Jenn-Nan Wang, +6 authors Keiichi Gunji
- 2006

In general, it is difficult to determine the dimension of the space of Siegel modular forms of low weights. In particular, the dimension of the space of cusp forms are known in only a few cases. Inâ€¦ (More)

We consider the inverse problem of determining the unknown function Î± : R â†’ R from the DN map associated with the operator div(A(xâ€², Î±(x3))âˆ‡Â·) acting in the infinite straight cylindrical waveguide Î©â€¦ (More)

- KÃ¤Ä±s Ammari, Mourad Choulli
- 2016

We are concerned with the problem of determining the damping boundary coefficient appearing in a dissipative wave equation from a single boundary measurement. We prove that the uniqueness holds atâ€¦ (More)