Errata for ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'', ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'', and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation''

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dc.creatorBlue, P.
dc.creatorSoffer, A.
dc.date2006-08-15
dc.date2006-11-08
dc.date.accessioned2026-07-07T07:20:12Z
dc.date.available2026-07-07T07:20:12Z
dc.descriptionIn ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'' (math-ph/0002030), ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'' (gr-qc/0310091), and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation'' (gr-qc/0310066), local decay estimates were proven for the (decoupled) Schrodinger, wave, and Regge-Wheeler equations on the Schwarzschild manifold, using commutator methods. Here, we correct a step in the commutator argument. The corrected argument works either for radial semilinear equations or general linear equations. This recovers the results in math-ph/0002030 and gr-qc/0310066, but does not recover the non radial, large data, semilinear result asserted in the gr-qc/0310091.
dc.description6 pages; Latex; v2: corrected typos and clarified exposition. v3: Acknowledgement
dc.identifierhttps://arxiv.org/abs/gr-qc/0608073
dc.identifierhttp://arxiv.org/abs/gr-qc/0608073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114884
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleErrata for ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'', ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'', and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation''
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