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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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Estimations $L^p$ des solutions de l’équation des ondes sur certaines variétés coniques
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by Hong-Quan Li and Noël Lohoue PDF
Trans. Amer. Math. Soc. 355 (2003), 689-711 Request permission

Abstract:

We prove R. Strichartz’s $L^p$ estimates for solutions of the wave equation on some conical manifolds.

Résumé. On prouve des estimations $L^p$ pour les solutions de l’équation des ondes, analogues aux estimations de R. Strichartz, sur certaines variétés coniques.

References
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Additional Information
  • Hong-Quan Li
  • Affiliation: Inst. Hautes Études Sci. - Le Bois-Marie, 35, Route de Chartres, F-91440 Bures-Sur-Yvette Cedex, France
  • Email: lihq@ihes.fr
  • Noël Lohoue
  • Affiliation: Département de Mathématiques, Bâtiment 425, Université de Paris-Sud, F-91405 Orsay Cedex, France
  • Email: Noel.LOHOUE@math.u-psud.fr
  • Received by editor(s): October 20, 1998
  • Published electronically: October 4, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 689-711
  • MSC (2000): Primary 35B45; Secondary 35L15, 58J45
  • DOI: https://doi.org/10.1090/S0002-9947-02-03130-6
  • MathSciNet review: 1932721