2 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-ph2025
Magnetic Dirac operator in strips submitted to strong magnetic fields
Loïc Le Treust, Julien Royer, Nicolas Raymond
We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with…