159 citations · 193 across the 8 of their papers we have counts for
10 papers
Control of the Schrödinger equation in : The critical case
Pablo Braz e Silva, Roberto de A. Capistrano-Filho, Jackellyny Dassy do Nascimento Carvalho +1
This article deals with the --level local null controllability for the energy-critical nonlinear Schrödinger equation in . Firstly, we demonstrate that the pro…
The linearized Calderon problem in transversally anisotropic geometries
David Dos Santos Ferreira, Yaroslav Kurylev, Matti Lassas +2
In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form…
From semiclassical Strichartz estimates to uniform resolvent estimates on compact manifolds
Nicolas Burq, David Dos Santos Ferreira, Katya Krupchyk
We prove uniform resolvent estimates for the stationary damped wave operator. The uniform resolvent estimates for the Laplace operator on a compact smooth Riemannian ma…
Stability estimates for the Calderón problem with partial data
David Dos Santos Ferreira, Pedro Caro, Alberto Ruiz
This is a follow-up of a previous article where we proved local stability estimates for a potential in a Schrödinger equation on an open bounded set in dimension from the Dir…
The Calderon problem in transversally anisotropic geometries
David Dos Santos Ferreira, Yaroslav Kurylev, Matti Lassas +1
We consider the anisotropic Calderon problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the…
Stability estimates for an inverse scattering problem at high frequencies
Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira +1
We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the l…
On resolvent estimates for Laplace-Beltrami operators on compact manifolds
David Dos Santos Ferreira, Carlos E. Kenig, Mikko Salo
In this article we prove estimates for resolvents of Laplace-Beltrami operators on compact Riemannian manifolds, generalizing results of Kenig, Ruiz and Sogge in the Euclidea…
Stable determination of coefficients in the dynamical anisotropic Schr{ö}dinger equation from the Dirichlet-to-Neumann map
Mourad Bellassoued, David Dos Santos Ferreira
In this paper we are interested in establishing stability estimates in the inverse problem of determining on a compact Riemannian manifold the electric potential or the conformal f…
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map
Mourad Bellassoued, David Dos Santos Ferreira
In this article we seek stability estimates in the inverse problem of determining the potential or the velocity in a wave equation in an anisotropic medium from measured Neumann bo…
Limiting Carleman weights and anisotropic inverse problems
D. Dos Santos Ferreira, C. E. Kenig, M. Salo +1
In this article we consider the anisotropic Calderon problem and related inverse problems. The approach is based on limiting Carleman weights, introduced in Kenig-Sjoestrand-Uhlman…