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We prove the existence of exponentially accurate quasimodes using the squareof the Dirac operator on the Schwarzschild-Anti-de Sitter spacetime and theAgmon estimates. We then deduce a logarithmic lower bound for the local energydecay of the Dirac propagator.

Quasimodes and a lower bound for the local energy decay of the Dirac equation in Schwarzschild-Anti-de Sitter spacetime