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- École Normale Supérieure - PSLFR647 papers
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13 papers · 2 filters
Super-resolution in high contrast media
Habib Ammari, Hai Zhang
A mathematical theory is developed to explain the super-resolution and super-focusing in high contrast media. The approach is based on the resonance expansion of the Green function…
Lens rigidity for manifolds with hyperbolic trapped set
Colin Guillarmou
For a Riemannian manifold with strictly convex boundary , the lens data consists in the set of lengths of geodesics with endpoints on , together…
Multi-frequency acousto-electromagnetic tomography
Giovanni S. Alberti, Habib Ammari, Kaixi Ruan
This paper focuses on the acousto-electromagnetic tomography, a recently introduced hybrid imaging technique. In a previous work, the reconstruction of the electric permittivity of…
Quasi-convex Hamilton-Jacobi equations posed on junctions: The multi-dimensional case
Cyril Imbert, R Monneau
A multi-dimensional junction is obtained by identifying the boundaries of a finite number of copies of an Euclidian half-space. The main contribution of this article is the constru…
Invariant distributions and X-ray transform for Anosov flows
Colin Guillarmou
For Anosov flows preserving a smooth measure on a closed manifold , we define a natural self-adjoint operator which maps into the space of invariant distributions…
The Cauchy problem on large time for the Water Waves equations with large topography variations
Benoît Mésognon-Gireau
We prove the local existence for the Water Waves equations with large bathymetric variations on a time interval of size 1/ε, where measures the amplitude of the wave. We just n…