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arXiv · 2605.07629

Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds

Zhexing Zhang
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Abstract

We prove the lossless unit interval Strichartz theorem on asymptotically conic surfaces, assuming that a large enough neighborhood of its trapped set has negative curvature. We also prove the spectral projection theorem for $6 < q < \infty$ on asymptotically Euclidean surfaces with nonpositive curvature, assuming a large enough neighborhood of its trapped set has negative curvature. If the negatively curved region extends to a sufficiently far-out cutoff, we also obtain the critical and subcritical estimates, without a curvature sign assumption near infinity.

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Zhexing Zhang. 2026-09-17. Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds. https://arxiv.org/abs/2605.07629

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