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We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metric in terms of resonances.
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1997
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J. Sjöstrand, A trace formula and review of some estimates for resonances , Microlocal analysis and spectral theory (Lucca, 1996), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 490, Kluwer Acad. Publ., 1997, pp. 377–437
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S.-H. Tang and M. Zworski, From quasimodes to resonances , Math. Res. Lett. 5
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1999
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S.-H. Tang and M. Zworski, Resonance expansions of scattered waves , Comm. Pure Appl. Math. 53
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N. Burq and M. Zworski, Resonance expansions in semi-classical propagation , Comm. Math. Phys. 223
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A. Martinez, Resonance free domains for non globally analytic potentials , Ann. Henri Poincaré 3
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P. Blue and J. Sterbenz, Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space , Comm. Math. Phys. 268
2006
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F. Finster, N. Kamran, J. Smoller, and S.-T. Yau, Decay of solutions of the wave equation in the Kerr geometry , Comm. Math. Phys. 264
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J. Sjöstrand, Lectures on resonances , preprint available on http://www.math.polytechnique.fr/ ∼ \sim sjoestrand
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S.-H. Tang and M. Zworski, Potential scattering on the real line , preprint available on http://math.berkeley.edu/ ∼ \sim zworski/
2007
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