## Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle

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- by Jason L. Metcalfe PDF
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**356**(2004), 4839-4855 Request permission

## Abstract:

In this paper, we show that certain local Strichartz estimates for solutions of the wave equation exterior to a convex obstacle can be extended to estimates that are global in both space and time. This extends the work that was done previously by H. Smith and C. Sogge in odd spatial dimensions. In order to prove the global estimates, we explore weighted Strichartz estimates for solutions of the wave equation when the Cauchy data and forcing term are compactly supported.## References

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## Additional Information

**Jason L. Metcalfe**- Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
- MR Author ID: 733199
- Email: metcalfe@math.gatech.edu
- Received by editor(s): November 14, 2002
- Published electronically: June 25, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**356**(2004), 4839-4855 - MSC (2000): Primary 35L05
- DOI: https://doi.org/10.1090/S0002-9947-04-03667-0
- MathSciNet review: 2084401