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

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arxiv 1610.05542 v1 pith:VSOBGLU4 submitted 2016-10-18 math-ph math.MP

Guillaume Idelon-Riton This is my paper · ORCID
classification math-phmath.MP
keywords diracbounddecayenergylocallowerquasimodesschwarzschild-anti-de
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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 deduce a logarithmic lower bound for the local energy decay of the Dirac propagator.

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  1. On turbulence for spacetimes with stable trapping

    gr-qc 2024-11 conditional novelty 7.0 of 10

    On a fixed spacetime with stable trapping, the cubic wave equation produces a forward angular-mode cascade and growth of higher-order derivatives, behavior absent for linear waves.

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