Pointwise decay for the Maxwell field on black hole space–times

Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 languageEnglish
Pages (from-to)53-93
Number of pages41
JournalAdvances in Mathematics
StatePublished - 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.


  • Black holes
  • Maxwell system
  • Pointwise decay

ASJC Scopus subject areas

  • Mathematics (all)


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