1 citations · 1 across the 6 of their papers we have counts for
6 papers
The initial-to-final inverse problem for the heat operator
Enric Alberola, Nesrine Aroua, Pedro Caro
We study an inverse problem for the heat equation in a medium that generates internal heat at a rate proportional to the heat density. The goal consists of determining the heat-gen…
The initial-to-final-state inverse problem with critically-singular potentials
Manuel Cañizares, Pedro Caro, Ioannis Parissis +1
The Schrödinger equation in high dimensions describes the evolution of a quantum system. Assume that we are given the evolution map sending each initial state $f\in L^2(\mathbb{R}^…
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…
The initial-to-final-state inverse problem with time-independent potentials
Manuel Cañizares, Pedro Caro, Ioannis Parissis +1
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…
Quantitative unique continuation for non-regular perturbations of the Laplacian
Pedro Caro, Sylvain Ervedoza, Lotfi Thabouti
In this work, we investigate the quantitative estimates of the unique continuation property for solutions of an elliptic equation $Δu = V u + W_1 \cdot \nabla u + \hbox{div} (W_2 u…
Reconstruction for the Calderón problem with Lipschitz conductivities
Pedro Caro, María Ángeles García-Ferrero, Keith M. Rogers
We determine the conductivity of the interior of a body using electrical measurements on its surface. We assume only that the conductivity is bounded below by a positive constant a…