Thanasis Zacharopoulos

activity

20242026

collaborators

5 papers

math.AP2026

Reconstruction of non-self-adjoint anisotropic and complex inclusions in the CalderÃ³n problem

Henrik Garde, David Johansson, Thanasis Zacharopoulos

We generalize recent results on the monotonicity method, for inclusion detection in the partial data anisotropic CalderÃ³n problem, to very general non-self-adjoint perturbations.…

math.AP2026

The initial-to-final-state inverse problem with critically-singular potentials

Manuel CaÃ±izares, Pedro Caro, Ioannis Parissis +1

The SchrÃ¶dinger 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 CalderÃ³n problem

Henrik Garde, David Johansson, Thanasis Zacharopoulos

We extend the monotonicity method for direct exact reconstruction of inclusions in the partial data CalderÃ³n problem, to the case of general anisotropic conductivities in any spat…

math.AP2025

The initial-to-final-state inverse problem with time-independent potentials

Manuel CaÃ±izares, 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

Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to Boundary Value Problems for elliptic systems with $L^{\infty}$ coefficients

Mihalis Mourgoglou, Thanasis Zacharopoulos

Let $I^c ◯ \subset R^{n + 1}$ , $n \geq 1$ , be an open set with $s$ -Ahlfors regular boundary $\partial I^c ◯$ , for some $s \in (0, n]$ , such that either $s = n$ and $I^c ◯$ is a corkscrew d…