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We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate.
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S. Alinhac On the Morawetz–Keel-Smith-Sogge Inequality for the Wave Equation on a Curved Background , Publ. RIMS, Kyoto Univ. 42
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M. Dafermos and I. Rodnianski Lectures on black holes and linear waves
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J. Metcalfe and C. D. Sogge Global existence of null-form wave equations in exterior domains Math. Z. (2007), 521–549
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M. Dafermos and I. Rodnianski The redshift effect and radiation decay on black hole spacetimes
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