Saved in:
Bibliographic Details
Main Authors: Brown, Madelyne M., Tacy, Melissa
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.07445
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • On a smooth, compact, $n$-dimensional Riemannian manifold, we consider functions $u_h$ that are joint quasimodes of two semiclassical pseudodifferential operators $p_1(x,hD)$ and $p_2(x,hD)$. We develop $L^p$ estimates for $u_h$ when the characteristic sets of $p_1$ and $p_2$ meet with $k$-th order contact. This paper is the natural extension of the two-dimensional results from arXiv:1909.12559 to $n$ dimensions.