Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle
Abstract
Description
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.
17 pages. Exposition simplified, error concerning the range of admissible $γ$ corrected, and the two dimensional argument was removed due to errors. To appear, Trans. Amer. Math. Soc
17 pages. Exposition simplified, error concerning the range of admissible $γ$ corrected, and the two dimensional argument was removed due to errors. To appear, Trans. Amer. Math. Soc