Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 2971-2996 |
| Number of pages | 26 |
| Journal | Analysis and PDE |
| Volume | 17 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). Open Access made possible by subscribing institutions via Subscribe to Open.
Funding
Lindblad was supported in part by NSF grant DMS-1500925 and Simons collaboration grant 638955. Tohaneanu was supported in part by the Simons collaboration grant 586051. We would also like to thank the Mittag Leffler Institute for their hospitality during the Fall 2019 program in geometry and relativity.
| Funders | Funder number |
|---|---|
| Mittag Leffler Institute | |
| National Science Foundation Arctic Social Science Program | DMS-1500925 |
| Simons Foundation | 638955, 586051 |
Keywords
- Kerr
- wave equation
- weak null condition
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics
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