activity
20232026
collaborators

6 papers

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}^…

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…

math.AP2023

Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to Boundary Value Problems for elliptic systems with coefficients

Mihalis Mourgoglou, Thanasis Zacharopoulos

Let , , be an open set with -Ahlfors regular boundary , for some , such that either and is a corkscrew doma…