4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AP2017★ 1 cited
Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime
Guillaume Idelon-Riton
We study the resolvent of the massive Dirac operator in the Schwarzschild-Anti-de Sitter space-time. After separation of variables, we use standard one dimensional techniques to ob…
math-ph2016★ 1 cited
Quasimodes and a lower bound for the local energy decay of the Dirac equation in Schwarzschild-Anti-de Sitter spacetime
Guillaume Idelon-Riton
We prove the existence of exponentially accurate quasimodes using the square of the Dirac operator on the Schwarzschild-Anti-de Sitter spacetime and the Agmon estimates. We then de…
math.AP2014★ 4 cited
Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime
Guillaume Idelon-Riton
We show asymptotic completeness for linear massive Dirac fields on the Schwarzschild-Anti-de Sitter spacetime. The proof is based on a Mourre estimate. We also construct an asympto…