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Publication Detailed Description
Journal Title
Annales Henri Poincaré
Year (definitive publication)
2023
Language
English
Country
Switzerland
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Abstract
We identify a large class of systems of semilinear wave equations, on fixed accelerated expanding FLRW spacetimes, with nearly flat spatial slices, for which we prove small data future global well-posedness. The family of systems we consider is large in the sense that, among other examples, it includes general wave maps, as well as natural generalizations of some of Fritz John’s “blowup” equations (whose future blowup disappears, in our setting, as a consequence of the spacetime expansion). We also establish decay upper bounds, which are sharp within the family of systems under analysis.
Acknowledgements
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Keywords
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Physical Sciences - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UIDB/04459/2020 | Fundação para a Ciência e a Tecnologia |
| UIDP/04459/2020 | Fundação para a Ciência e a Tecnologia |
| CERN/FIS-PAR/0023/2019 | CERN |
| CEECIND/00936/2018 | Fundação para a Ciência e a Tecnologia |
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