A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds
A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds
We obtain the Strichartz inequality for any smooth three-dimensional Riemannian manifold (M, g) which is asymptotically conic at infinity and nontrapping, where u is a solution to the Schrödinger equation iu t + (1/2)Δ M u = 0. The exponent H 1/4(M) is sharp, by scaling considerations. In particular our …