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Spectral cluster estimates for metrics of Sobolev regularity
Author(s):
Matthew
D.
Blair
Journal:
Trans. Amer. Math. Soc.
361
(2009),
1209-1240.
MSC (2000):
Primary 42C15;
Secondary 35P99, 35L15, 35R05
Posted:
October 23, 2008
MathSciNet review:
2457396
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Additional information
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  estimates for the wave equation which are shown by employing wave packet techniques.
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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
DOI:
10.1090/S0002-9947-08-04638-2
PII:
S 0002-9947(08)04638-2
Received by editor(s):
August 28, 2006
Posted:
October 23, 2008
Additional Notes:
The author was supported in part by the NSF grant DMS-0354668.
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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