Strichartz estimates on Schwarzschild black hole backgrounds

Jeremy Marzuola, Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu

Research output: Contribution to journalArticlepeer-review

70 Scopus citations

Abstract

We study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of [29], to establish global-in-time Strichartz estimates. A considerable part of the paper is devoted to a precise analysis of solutions near the trapping region, namely the photon sphere.

Original languageEnglish
Pages (from-to)37-83
Number of pages47
JournalCommunications in Mathematical Physics
Volume293
Issue number1
DOIs
StatePublished - 2009

Bibliographical note

Funding Information:
The authors were supported in part by the NSF grants DMS0354539 and DMS0301122. Acknowledgement Open Access

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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