On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
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- by Matthew D. Blair, Hart F. Smith and Christopher D. Sogge PDF
- Proc. Amer. Math. Soc. 136 (2008), 247-256 Request permission
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
- MR Author ID: 164510
- Email: sogge@jhu.edu
- Received by editor(s): October 31, 2006
- Published electronically: 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 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 247-256
- MSC (2000): Primary 35Q40, 35B65; Secondary 35Q55, 35A17
- DOI: https://doi.org/10.1090/S0002-9939-07-09114-9
- MathSciNet review: 2350410