Showing math.APShow all
2 papers · 1 filter
math.AP2025
A Rellich-type theorem for the Helmholtz equation in a junction of stratified media
Sarah Al Humaikani, Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss +1
We prove that there are no non-zero square-integrable solutions to a two-dimensional Helmholtz equation in some unbounded inhomogeneous domains which represent junctions of stratif…
math.AP2025
Maxwell's equations with hypersingularities at a negative index material conical tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
We study a transmission problem for the time harmonic Maxwell's equations between a classical positive material and a so-called negative index material in which both the permittivi…