Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/29828
Author(s): | Costa, João L. Natário, J Pedro F. C. Oliveira |
Date: | 2019 |
Title: | Decay of solutions of the wave equation in expanding cosmological spacetimes |
Journal title: | Journal of Hyperbolic Differential Equations |
Volume: | 16 |
Number: | 1 |
Pages: | 35 - 58 |
Reference: | Costa, João L., Natário, J., & Pedro F. C. Oliveira (2019).Decay of solutions of the wave equation in expanding cosmological spacetimes. Journal of Hyperbolic Differential Equations, 16(1), 35-58. https://dx.doi.org/10.1142/S0219891619500024 |
ISSN: | 0219-8916 |
DOI (Digital Object Identifier): | 10.1142/S0219891619500024 |
Abstract: | We study the decay of solutions of the wave equation in some expanding cosmological spacetimes, namely flat Friedmann–Lemaître–Robertson–Walker (FLRW) models and the cosmological region of the Reissner–Nordström–de Sitter (RNdS) solution. By introducing a partial energy and using an iteration scheme, we find that, for initial data with finite higher order energies, the decay rate of the time derivative is faster than previously existing estimates. For models undergoing accelerated expansion, our decay rate appears to be (almost) sharp. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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