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We establish a mixed-norm Strichartz type estimate for the wave equation onRiemannian manifolds $(\Omega,g)$, for the case that $\Omega$ is the exteriorof a smooth, normally hyperbolic trapped obstacle in $n$ dimensional Euclideanspace, and $n$ is a positive odd integer. As for the normally hyperbolictrapped obstacles, we will some loss of derivatives for data in the localenergy decay estimate. Hence the global Strichartz estimate has a derivativeloss. However, we can show that the forcing term is bounded by the sum of nomore than two Lebesgue $(p,q)$ mixed norms.

Strichartz-type Estimates for Wave Equation for Normally Hyperbolic Trapped Domains