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A vector field method
for radiating black hole spacetimes
Jesús Oliver and Jacob Sterbenz |
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Vol. 13 (2020), No. 1, 29–92
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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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Authors |
| Jesús Oliver | |
| Department of Mathematics California State University, East Bay Hayward, CA United States |
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| Jacob Sterbenz | |
| Department of Mathematics University of California at San Diego La Jolla, CA United States |
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