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

Mihalis Dafermos; Igor Rodnianski

doi:10.1142/9789814304634_0032

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

Mihalis Dafermos, Igor Rodnianski

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

126 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 language	English (US)
Title of host publication	XVIth International Congress on Mathematical Physics
Publisher	World Scientific Publishing Co.
Pages	421-432
Number of pages	12
ISBN (Electronic)	9789814304634
ISBN (Print)	981430462X, 9789814304627
DOIs	https://doi.org/10.1142/9789814304634_0032
State	Published - Jan 1 2010

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

Keywords

Black holes
General relativity
The wave equation

Access to Document

10.1142/9789814304634_0032

Cite this

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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.",

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AU - Rodnianski, Igor

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N2 - 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.

AB - 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.

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KW - General relativity

KW - The wave equation

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BT - XVIth International Congress on Mathematical Physics

PB - World Scientific Publishing Co.

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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