Pointwise decay for the Maxwell field on black hole space–times

Jason Metcalfe; Daniel Tataru; Mihai Tohaneanu

doi:10.1016/j.aim.2017.05.024

Pointwise decay for the Maxwell field on black hole space–times

Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t⁻⁴ rate of decay on compact regions for all the components of the Maxwell tensor.

Original language	English
Pages (from-to)	53-93
Number of pages	41
Journal	Advances in Mathematics
Volume	316
DOIs	https://doi.org/10.1016/j.aim.2017.05.024
State	Published - Aug 20 2017

Bibliographical note

Funding Information:
The first author was supported in part by NSF grant DMS-1054289 , the second author by DMS-1266182 as well as by a Simons Investigator award from the Simons Foundation, and the third author by DMS-1636435 .

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

Black holes
Maxwell system
Pointwise decay

ASJC Scopus subject areas

Mathematics (all)

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10.1016/j.aim.2017.05.024

Cite this

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abstract = "In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t−4 rate of decay on compact regions for all the components of the Maxwell tensor.",

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AU - Tataru, Daniel

AU - Tohaneanu, Mihai

N1 - Funding Information: The first author was supported in part by NSF grant DMS-1054289 , the second author by DMS-1266182 as well as by a Simons Investigator award from the Simons Foundation, and the third author by DMS-1636435 . Publisher Copyright: © 2017 Elsevier Inc.

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N2 - In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t−4 rate of decay on compact regions for all the components of the Maxwell tensor.

AB - In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t−4 rate of decay on compact regions for all the components of the Maxwell tensor.

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KW - Maxwell system

KW - Pointwise decay

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EP - 93

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Pointwise decay for the Maxwell field on black hole space–times

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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