Strichartz estimates on Kerr black hole backgrounds

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

We study the dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish Strichartz estimates for solutions of the aforementioned equation. This follows a local energy decay result for the Kerr space-time obtained in earlier work of Tataru and the author, and uses the techniques and results by the author and collaborators (2010). As an application, we then prove global well-posedness and uniqueness for the energy critical semilinear wave equation with small initial data.

Original languageEnglish
Pages (from-to)689-702
Number of pages14
JournalTransactions of the American Mathematical Society
Volume364
Issue number2
DOIs
StatePublished - 2012

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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