On Strichartz estimates for Schrödinger operators in compact manifolds with boundary

Blair, Matthew; Smith, Hart; Sogge, Christopher

doi:10.1090/S0002-9939-07-09114-9

On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
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by Matthew D. Blair, Hart F. Smith and Christopher D. Sogge PDF

Proc. Amer. Math. Soc. 136 (2008), 247-256 Request permission

Abstract:

We prove local Strichartz estimates with a loss of derivatives over compact manifolds with boundary. Our results also apply more generally to compact manifolds with Lipschitz metrics.

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