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arXiv · 1503.00413

Lp bilinear quasimode estimates

Zihua Guo·Xiaolong Han·Melissa Tacy
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Abstract

In this paper, we investigate the $L^p$ bilinear quasimode estimates on compact Riemannian manifolds. We obtain results in the full range $p\ge2$ on all $n$-dimensional manifolds with $n\ge2$. This in particular implies the $L^p$ bilinear eigenfunction estimates. We further show that all of these estimates are sharp by constructing various quasimodes and eigenfunctions that saturate our estimates.

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Zihua Guo, Xiaolong Han, Melissa Tacy. 2015-03-02. Lp bilinear quasimode estimates. https://arxiv.org/abs/1503.00413

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