3 papers
math.AP2026
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}^…
math.AP2025
Direct reconstruction of anisotropic self-adjoint inclusions in the Calderón problem
Henrik Garde, David Johansson, Thanasis Zacharopoulos
We extend the monotonicity method for direct exact reconstruction of inclusions in the partial data Calderón problem, to the case of general anisotropic conductivities in any spati…
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…