44 citations · 56 across the 6 of their papers we have counts for
7 papers
Refraction laws in spatio-temporal media
Cristian E. Gutiérrez, Eric Stachura
We study the time-dependent Maxwell system, formulated in the sense of distributions, for electromagnetic waves propagating through media with temporal and spatial material interfa…
Refraction laws in temporal media
Cristian E. Gutiérrez, Eric Stachura
We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at tempora…
Quantitative Trace Estimates for the Maxwell system in Lipschitz Domains
Eric Stachura, Niklas Wellander
We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of…
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Árpád Bényi, José María Martell, Kabe Moen +2
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settin…
Existence of Propagators for Time Dependent Coulomb-like Potentials
Eric Stachura
We prove existence of propagators for a time dependent Schrödinger equation with a new class of softened Coulomb potentials, which we allow to be time dependent, in the context of…
General Refraction Problems with Phase Discontinuity
Cristian E. Gutierrez, Luca Pallucchini, Eric Stachura
This paper provides a mathematical approach to study metasurfaces in non flat geometries. Analytical conditions between the curvature of the surface and the set of refracted direct…
Uniform Refraction in Negative Refractive Index Materials
Cristian E. Gutierrez, Eric Stachura
We study the problem of constructing an optical surface separating two homogeneous, isotropic media, one of which has a negative refractive index. In doing so, we develop a vector…