Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle

Details Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle

2002-10-15

arxiv.org/abs/math/0210227v3

Mathematics

Analysis of PDEs

17 pages. Exposition simplified, error concerning the range of admissible $\gamma$ corrected, and the two dimensional argument

Scientific paper

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.

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