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9 papers · 2 filters
Semiclassical limit for mixed states with singular and rough potentials
Alessio Figalli, Marilena Ligabo, Thierry Paul
We consider the semiclassical limit for the Heisenberg-von Neumann equation with a potential which consists of the sum of a repulsive Coulomb potential, plus a Lipschitz potential…
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Roman Novikov, Matteo Santacesaria
We study the multi-channel Gel'fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation , , where is a…
On the propagation of oceanic waves driven by a strong macroscopic flow
Isabelle Gallagher, Thierry Paul, Laure Saint-Raymond
In this work we study oceanic waves in a shallow water flow subject to strong wind forcing and rotation, and linearized around a inhomogeneous (non zonal) stationary profile. This…
Large time asymptotics for the Grinevich-Zakharov potentials
Anna Kazeykina, Roman Novikov
In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 di…
A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions
Roman Novikov, Matteo Santacesaria
We prove a global logarithmic stability estimate for the Gel'fand-Calderon inverse problem on a two-dimensional domain.
Dispersion and controllability for the Schrödinger equation on negatively curved manifolds
Nalini Anantharaman, Gabriel Riviere
We study the time-dependent Schrödinger equation on a compact riemannian manifold on which the geodesic flow has the Anosov property.…