Dana Zilberberg

collaborators

2 papers

math.AP2026

Reconstruction of the Support of an Inhomogeneity for the Fractional Helmholtz Equation

Dana Zilberberg

We consider the inverse scattering problem for inhomogeneous media of compact support governed by the fractional s-Helmholtz equation, with $0 < s < 1$ , in dimensions $d = 1, 2, 3$ . In par…

math.AP2026

Limiting Absorption Principle and Radiation Condition for the Fractional Helmholtz Equation

Dana Zilberberg, Fioralba Cakoni, Michael S. Vogelius

We investigate elliptic fractional equations in the whole space, involving zero order perturbations of the fractional Laplacian $(- Δ)^{s}$ , $0 < s < 1$ . Our main objective is to determin…