Abstract
In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t−4 rate of decay on compact regions for all the components of the Maxwell tensor.
Original language | English |
---|---|
Pages (from-to) | 53-93 |
Number of pages | 41 |
Journal | Advances in Mathematics |
Volume | 316 |
DOIs | |
State | Published - Aug 20 2017 |
Bibliographical note
Funding Information:The first author was supported in part by NSF grant DMS-1054289 , the second author by DMS-1266182 as well as by a Simons Investigator award from the Simons Foundation, and the third author by DMS-1636435 .
Publisher Copyright:
© 2017 Elsevier Inc.
Keywords
- Black holes
- Maxwell system
- Pointwise decay
ASJC Scopus subject areas
- Mathematics (all)