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math.AP2026
Stability estimates for the initial-to-final-state inverse problem
Manuel Cañizares, Thanasis Zacharopoulos
The initial-to-final-state inverse problem for the Schrödinger equation consists in determining uniquely the Hamiltonian that generates the evolution, assuming the knowledge of the…
math.AP2026
Reconstruction of non-self-adjoint anisotropic and complex inclusions in the Calderón problem
Henrik Garde, David Johansson, Thanasis Zacharopoulos
We generalize recent results on the monotonicity method, for inclusion detection in the partial data anisotropic Calderón problem, to very general non-self-adjoint perturbations. T…
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}^…