Localized energy estimates for wave equations on (1 + 4)-dimensional myers-perry space-times

Parul Laul, Jason Metcalfe, Shreyas Tikare, Mihai Tohaneanu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Localized energy estimates for the wave equation have been increasingly used to prove various other dispersive estimates. This article focuses on proving such localized energy estimates on (1 + 4)-dimensional Myers-Perry black hole backgrounds with small angular momenta. The Myers-Perry space-times are generalizations of higher-dimensional Kerr backgrounds where additional planes of rotation are available while still maintaining axial symmetry. Once it is determined that all trapped geodesics have constant r, the method developed by Tataru and the fourth author, which perturbs off of the Schwarzschild case by using a pseudodifferential multiplier, can be adapted.

Original languageEnglish
Pages (from-to)1933-1957
Number of pages25
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 2015

Bibliographical note

Publisher Copyright:
© 2015 Society for Industrial and Applied Mathematics.


  • (1 + 4) dimensions
  • Localized energy estimates
  • Myers-perry

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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