3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2024
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…