Inverse problems are those where a set of measured results is analyzed in order to get as
much information as possible on a “model” which is proposed to represent a system in the …

Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

Transformation optics constructions have allowed the design of electromagnetic, acoustic
and quantum parameters that steer waves around a region without penetrating it, so that the …

We study the problem of reconstructing the potential of the two-dimensional Schrödinger
operator from scattering data measured at fixed energy. This problem, in contrast to the …

We prove the absence of non-scattering energies for potentials in the plane having a corner
of angle smaller than π. This extends the earlier result of Blasten, Päivärinta and Sylvester …

We describe potentials which act as approximate cloaks for matter waves. These potentials
are derived from ideal cloaks for the conductivity and Helmholtz equations. At most energies …

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 show that fixed energy scattering measurements for the magnetic Schrödinger operator
uniquely determine the magnetic field and electric potential in dimensions n⩾ 3. The …

Riemann–Hilbert problem approach for two-dimensional flow inverse scatteringa) | Journal of
Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt …

The Novikov–Veselov (NV) equation is a (2+ 1)-dimensional nonlinear evolution equation
that generalizes the (1+ 1)-dimensional Korteweg–de Vries (KdV) equation. The solution of …