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

Producción científica: Article › revisión exhaustiva

19 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	53-93
Número de páginas	41
Publicación	Advances in Mathematics
Volumen	316
DOI	https://doi.org/10.1016/j.aim.2017.05.024
Estado	Published - ago 20 2017

Nota bibliográfica

Publisher Copyright:
© 2017 Elsevier Inc.

Financiación

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 .

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	DMS-1266182, DMS-1054289, 1266182
Simons Foundation	DMS-1636435

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2017.05.024

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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.",

keywords = "Black holes, Maxwell system, Pointwise decay",

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AU - Tataru, Daniel

AU - Tohaneanu, Mihai

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Y1 - 2017/8/20

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.

KW - Black holes

KW - Maxwell system

KW - Pointwise decay

UR - https://www.scopus.com/pages/publications/85033364695

UR - https://www.scopus.com/pages/publications/85033364695#tab=citedBy

U2 - 10.1016/j.aim.2017.05.024

DO - 10.1016/j.aim.2017.05.024

M3 - Article

AN - SCOPUS:85033364695

SN - 0001-8708

VL - 316

SP - 53

EP - 93

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

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

Resumen

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Financiación

ASJC Scopus subject areas

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