PreprintCC BY 4.0arXiv
Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds
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 < ∞ 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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BibTeX
@misc{zhang2026strichartz,
title = {{Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds}},
author = {Zhexing Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.07629},
eprint = {2605.07629},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.07629},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds
AU - Zhexing Zhang
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2605.07629
UR - https://arxiv.org/abs/2605.07629
AB - 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 < ∞ 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.
ER -