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

Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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 languageEnglish
Pages (from-to)53-93
Number of pages41
JournalAdvances in Mathematics
Volume316
DOIs
StatePublished - Aug 20 2017

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

  • Black holes
  • Maxwell system
  • Pointwise decay

ASJC Scopus subject areas

  • General Mathematics

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