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On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
Author(s):
Matthew
D.
Blair;
Hart
F.
Smith;
Christopher
D.
Sogge
Journal:
Proc. Amer. Math. Soc.
136
(2008),
247-256.
MSC (2000):
Primary 35Q40, 35B65;
Secondary 35Q55, 35A17
Posted:
October 12, 2007
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Abstract:
We prove local Strichartz estimates with a loss of derivatives over compact manifolds with boundary. Our results also apply more generally to compact manifolds with Lipschitz metrics.
References:
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Additional Information:
Matthew
D.
Blair
Affiliation:
Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
Email:
mblair@math.jhu.edu
Hart
F.
Smith
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195
Email:
hart@math.washington.edu
Christopher
D.
Sogge
Affiliation:
Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
Email:
sogge@jhu.edu
DOI:
10.1090/S0002-9939-07-09114-9
PII:
S 0002-9939(07)09114-9
Received by editor(s):
October 31, 2006
Posted:
October 12, 2007
Additional Notes:
The authors were supported by the National Science Foundation, Grants DMS-0140499, DMS-0099642, and DMS-0354668.
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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