7 citations · 14 across the 12 of their papers we have counts for
16 papers · 1 filter
The initial-to-final-state inverse problem with unbounded potentials and Strichartz estimates
Pedro Caro, Alberto Ruiz
The initial-to-final-state inverse problem consists in determining a quantum Hamiltonian assuming the knowledge of the state of the system at some fixed time, for every initial sta…
A priori estimates of Mizohata-Takeuchi type for the Navier-Lamé operator
Juan Antonio Barceló, Alberto Ruiz, Mari Cruz Vilela +1
The Mizohata-Takeuchi conjecture for the resolvent of the Navier-Lamé equation is a weighted estimate with weights in the so-called Mizohata-Takeuchi class for this operator when o…
Homogenization on parallelizable Riemannian manifolds
Daniel Faraco, Luis Guijarro, Yaroslav Kurylev +1
We consider the problem of finding the homogenization limit of oscillating linear elliptic equations on an arbitrary parallelizable manifold . We replicate the concept of…
An inverse problem for data-driven prediction in quantum mechanics
Pedro Caro, Alberto Ruiz
Data-driven prediction in quantum mechanics consists in providing an approximative description of the motion of any particles at any given time, from data that have been previously…
Stability estimates for the magnetic Schrödinger operator with partial measurements
L. Potenciano-Machado, A. Ruiz, L. Tzou
In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in with , from measurements…
Uniqueness for the inverse fixed angle scattering problem
Juan A. Barceló, Carlos Castro, Teresa Luque +3
We present a uniqueness result in dimensions and for the inverse fixed angle scattering problem associated to the Schrödinger operator , where is a small real val…