Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Nonlinear waves on 3D hyperbolic space


Authors: Jason Metcalfe and Michael Taylor
Journal: Trans. Amer. Math. Soc. 363 (2011), 3489-3529
MSC (2000): Primary 35L70
Published electronically: February 24, 2011
MathSciNet review: 2775816
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this article, global-in-time dispersive estimates and Strichartz estimates are explored for the wave equation on three dimensional hyperbolic space. Due to the negative curvature, extra dispersion is noted, as compared to the Euclidean case, and a wider range of Strichartz estimates is proved. Using these, small data global existence to semilinear wave equations is shown for a range of powers that is broader than that known for Euclidean space.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 35L70

Retrieve articles in all journals with MSC (2000): 35L70


Additional Information

Jason Metcalfe
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599-3250
Email: metcalfe@email.unc.edu

Michael Taylor
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599-3250
Email: met@email.unc.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05122-6
PII: S 0002-9947(2011)05122-6
Received by editor(s): March 26, 2009
Published electronically: February 24, 2011
Additional Notes: The second author was partially supported by NSF grants DMS-0800678 and DMS-0758320
Article copyright: © Copyright 2011 American Mathematical Society