A Strichartz Inequality for the Schrodinger Equation on Nontrapping Asymptotically Conic Manifolds

Hassell, Andrew; Tao, Terence Chi-Shen; Wunsch, Jared

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A Strichartz Inequality for the Schrodinger Equation on Nontrapping Asymptotically Conic Manifolds

Date

2005

Authors

Hassell, Andrew

Tao, Terence Chi-Shen

Wunsch, Jared

Publisher

Marcel Dekker Inc.

Abstract

We obtain the Strichartz inequality ∫01 ∫M|u(t, z)|4 dt(z)dt ≤ C ||u (0) || H1/4(M)4 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 equ