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Dispersive wave estimates on 3D hyperbolic space


Authors: Jason Metcalfe and Michael Taylor
Journal: Proc. Amer. Math. Soc. 140 (2012), 3861-3866
MSC (2010): Primary 35L71; Secondary 58J45, 35L05
DOI: https://doi.org/10.1090/S0002-9939-2012-11534-5
Published electronically: March 6, 2012
MathSciNet review: 2944727
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Abstract | References | Similar Articles | Additional Information

Abstract: Stimulated by a recent paper of J.-Ph. Anker and V. Pierfelice, we sharpen some dispersive estimates that arose in our previous work on nonlinear waves on 3D hyperbolic space.


References [Enhancements On Off] (What's this?)

  • 1. J.-Ph. Anker and V. Pierfelice, Wave and Klein-Gordon equations on hyperbolic spaces, arXiv:1104.0177v1.
  • 2. C. Fefferman and E. Stein, $ H^p$ spaces of several variables, Acta Math. 129 (1972), 137-193. MR 0447953 (56:6263)
  • 3. J. Metcalfe and M. Taylor, Nonlinear waves on 3D hyperbolic space, Trans. Amer. Math. Soc. 363 (2011), 3489-3529. MR 2775816
  • 4. D. Tataru, Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation, Trans. Amer. Math. Soc. 353 (2001), 795-807. MR 1804518 (2001k:35218)
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Additional Information

Jason Metcalfe
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
Email: metcalfe@email.unc.edu

Michael Taylor
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
Email: met@email.unc.edu

DOI: https://doi.org/10.1090/S0002-9939-2012-11534-5
Received by editor(s): April 22, 2011
Published electronically: March 6, 2012
Additional Notes: The authors were partially supported by NSF grants DMS-0800678 and DMS-0758320 respectively.
Communicated by: James E. Colliander
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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