3 papers
math.AP2025
Local decay and asymptotic profile for the damped wave equation in the asymptotically Euclidean setting
Rayan Fahs, Julien Royer
We prove local decay estimates for the wave equation in the asymptotically Euclidean setting. In even dimensions we go beyond the optimal decay by providing the large time asymptot…
math-ph2023
Boundary states of the Robin magnetic Laplacian
Rayan Fahs, Loïc Le Treust, Nicolas Raymond +1
This article tackles the spectral analysis of the Robin Laplacian on a smooth bounded two-dimensional domain in the presence of a constant magnetic field. In the semiclassical limi…
math.SP2021
Magnetic perturbations of the Robin Laplacian in the strong coupling limit
Rayan Fahs
This paper is devoted to the asymptotic analysis of the eigenvalues of the Laplace operator with a strong magnetic field and Robin boundary condition on a smooth planar domain and…