Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/29784
Author(s): | Costa, J. L. Franzen, A. T. Oliver, J. |
Date: | 2023 |
Title: | Semilinear wave equations on accelerated expanding FLRW spacetimes |
Journal title: | Annales Henri Poincaré |
Volume: | 24 |
Number: | 9 |
Pages: | 3185 - 3207 |
Reference: | Costa, J. L., Franzen, A. T., & Oliver, J. (2023). Semilinear wave equations on accelerated expanding FLRW spacetimes. Annales Henri Poincaré, 24(9), 3185-3207. https://dx.doi.org/10.1007/s00023-023-01319-9 |
ISSN: | 1424-0637 |
DOI (Digital Object Identifier): | 10.1007/s00023-023-01319-9 |
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. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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