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Abstract
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We develop a commuting vector field method for a general class of radiating
spacetimes. The metrics we consider are modeled on those constructed from global
nonlinear stability problems in general relativity, and our method provides sharp
peeling estimates for solutions to both linear and (null form) nonlinear scalar
fields.
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Keywords
wave equation, local energy decay, vector field method
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Mathematical Subject Classification 2010
Primary: 35L10
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Milestones
Received: 30 May 2017
Revised: 24 September 2018
Accepted: 29 December 2018
Published: 6 January 2020
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