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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The null-geodesic flow near horizons
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by Oran Gannot PDF
Trans. Amer. Math. Soc. 371 (2019), 4769-4791 Request permission

Abstract:

This note describes the behavior of null-geodesics near nondegenerate Killing horizons in language amenable to the application of a general framework, due to Vasy and Hintz, for the analysis of both linear and nonlinear wave equations. Throughout, the viewpoint of Melrose’s b-geometry on a suitable compactification of spacetime at future infinity is adopted.
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Additional Information
  • Oran Gannot
  • Affiliation: Department of Mathematics, Lunt Hall, Northwestern University, Evanston, Illinois 60208
  • MR Author ID: 1067107
  • Email: gannot@northwestern.edu
  • Received by editor(s): August 15, 2017
  • Received by editor(s) in revised form: August 17, 2017
  • Published electronically: December 21, 2018
  • Additional Notes: This paper is partially based upon work supported by the National Science Foundation under grant No. 1502632.
  • © Copyright 2018 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 371 (2019), 4769-4791
  • MSC (2010): Primary 35L05, 47A53, 58J47, 83C57
  • DOI: https://doi.org/10.1090/tran/7592
  • MathSciNet review: 3934466