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The weak null
condition on Kerr backgrounds
Hans Lindblad and Mihai Tohaneanu |
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Vol. 17 (2024), No. 8, 2971–2996
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Abstract |
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We study a system of semilinear wave equations on Kerr backgrounds that satisfies the weak null condition. Under the assumption of small initial data, we prove global existence and pointwise decay estimates. |
Keywords
wave equation, Kerr, weak null condition
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Mathematical Subject Classification
Primary: 35L05, 35L71
Secondary: 83C57
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Milestones
Received: 27 October 2022
Revised: 25 April 2023
Accepted: 6 June 2023
Published: 12 October 2024
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Authors |
| Hans Lindblad | |
| Department of Mathematics Johns Hopkins University Baltimore, MD United States |
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| Mihai Tohaneanu | |
| Department of Mathematics University of Kentucky Lexington, KY United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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