A local energy estimate on Kerr black hole backgrounds

Daniel Tataru; Mihai Tohaneanu

doi:10.1093/imrn/rnq069

A local energy estimate on Kerr black hole backgrounds

Daniel Tataru
, Mihai Tohaneanu

Mathematics

Producción científica: Article › revisión exhaustiva

121 Citas (Scopus)

Resumen

We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish uniform energy bounds and local energy decay for such backgrounds. This follows similar results for the Schwarzschild space-time proved earlier in [3], [8], and [16] and extended in earlier work [29] of the authors and collaborators.

Idioma original	English
Páginas (desde-hasta)	248-292
Número de páginas	45
Publicación	International Mathematics Research Notices
Volumen	2011
N.º	2
DOI	https://doi.org/10.1093/imrn/rnq069
Estado	Published - ene 2011

Financiación

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	0801261

ASJC Scopus subject areas

General Mathematics

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AB - We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish uniform energy bounds and local energy decay for such backgrounds. This follows similar results for the Schwarzschild space-time proved earlier in [3], [8], and [16] and extended in earlier work [29] of the authors and collaborators.

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UR - https://www.scopus.com/pages/publications/79251521876#tab=citedBy

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DO - 10.1093/imrn/rnq069

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JO - International Mathematics Research Notices

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A local energy estimate on Kerr black hole backgrounds

Resumen

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