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.
|Number of pages||41|
|Journal||Advances in Mathematics|
|State||Published - Aug 20 2017|
Bibliographical noteFunding 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 .
© 2017 Elsevier Inc.
- Black holes
- Maxwell system
- Pointwise decay
ASJC Scopus subject areas
- Mathematics (all)