18 citations · 81 across the 23 of their papers we have counts for
3 papers · 2 filters
On the potential lack of response in a model of second-harmonic generation. A computer-assisted proof
Miguel Ayala, Dominic Blanco, Fioralba Cakoni +2
This paper provides a rigorous computer-assisted proof of the existence of generalized transmission eigenvalues arising in nonlinear optics in the context of high-order harmonic ge…
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 , . Our main objective is to determin…
Transmission Eigenvalues and Non-scattering
Fioralba Cakoni, Michael S. Vogelius
In this paper we survey some recent results concerning scattering and non-scattering in the context of the linear Helmholtz equation and inhomogeneities of nontrivial contrast. We…