A new physical-space approach to decay for the wave equation with applications to black hole spacetimes

Research output: Chapter in Book/Report/Conference proceedingChapter

64 Scopus citations

Abstract

We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The method is quite robust, requiring only physical space techniques, and circumvents use of multipliers or commutators with weights growing in t. In particular, the method applies to a wide class of perturbations of Minkowski space as well as to Schwarzschild and Kerr black hole exteriors.

Original languageEnglish (US)
Title of host publicationXVIth International Congress on Mathematical Physics
PublisherWorld Scientific Publishing Co.
Pages421-432
Number of pages12
ISBN (Electronic)9789814304634
ISBN (Print)981430462X, 9789814304627
DOIs
StatePublished - Jan 1 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

Keywords

  • Black holes
  • General relativity
  • The wave equation

Fingerprint Dive into the research topics of 'A new physical-space approach to decay for the wave equation with applications to black hole spacetimes'. Together they form a unique fingerprint.

  • Cite this