Spectral cluster estimates for metrics of Sobolev regularity
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- by Matthew D. Blair PDF
- Trans. Amer. Math. Soc. 361 (2009), 1209-1240 Request permission
Abstract:
We investigate spectral cluster estimates for compact manifolds equipped with a Riemannian metric whose regularity is determined by its inclusion in a Sobolev space of sufficiently high order. The problem is reduced to obtaining $L^p$ estimates for the wave equation which are shown by employing wave packet techniques.References
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Additional Information
- Matthew D. Blair
- Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627
- Address at time of publication: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
- Email: blair@math.rochester.edu, blair@math.unm.edu
- Received by editor(s): August 28, 2006
- Published electronically: October 23, 2008
- Additional Notes: The author was supported in part by the NSF grant DMS-0354668.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 1209-1240
- MSC (2000): Primary 42C15; Secondary 35P99, 35L15, 35R05
- DOI: https://doi.org/10.1090/S0002-9947-08-04638-2
- MathSciNet review: 2457396