Abstract The Ryu–Takayanagi and Hubeny–Rangamani–Takayanagi formulae suggest that
bulk geometry emerges from the entanglement structure of the boundary theory. Using these …

We consider inverse boundary value problems for the Schrodinger equations in two
dimensions. Within less regular classes of potentials, we establish a conditional stability …

We consider two inverse problems for the multi-channel two-dimensional Schrödinger
equation at fixed positive energy, ie, the equation− Δψ+ V (x) ψ= Eψ at fixed positive E …

We prove identification of coefficients up to gauge equivalence by Cauchy data at the
boundary for elliptic systems on oriented compact surfaces with boundary or domains of C …

We consider inverse boundary value problems for elliptic equations of second order of
determining coefficients by Dirichlet-to-Neumann map on subboundaries, that is, the …

For the two-dimensional Schrödinger equation in a bounded domain, we prove uniqueness
of the determination of potentials in W p 1 (Ω), p> 2 in the case where we apply all possible …

R.–Nous reconstruisons des potentiels à support compact avec une demi-derivée
dans L2 à partir de l'amplitude de diffusion à énergie fixe. Pour cela, nous établissons un …

We consider an inverse problem of determining coefficient matrices in an N-system of
second-order elliptic equations in a bounded two-dimensional domain by a set of Cauchy …

We show that complex-valued potentials with jump discontinuities can be recovered from the
Dirichlet-to-Neumann map using Bukhgeim's method. We also provide conditional stability …

We give formulas and equations for finding generalized scattering data for the Schr\" odinger
equation in open bounded domain at fixed energy from the impedance boundary map (or …