Journal
ANNALES HENRI POINCARE
Volume 16, Issue 1, Pages 289-345Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s00023-014-0315-7
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Funding
- NSF [DMS-0943787]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0943787] Funding Source: National Science Foundation
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We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime.
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