Can I read $L^p$ estimates for joint quasimodes of two pseudodifferential operators whose characteristic sets have $k$-th order contact on EtoBox?

$L^p$ estimates for joint quasimodes of two pseudodifferential operators whose characteristic sets have $k$-th order contact by Brown, Madelyne M.; Tacy, Melissa is a scholarly article available to read on EtoBox.

What is $L^p$ estimates for joint quasimodes of two pseudodifferential operators whose characteristic sets have $k$-th order contact about?

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.

Author

Brown, Madelyne M.; Tacy, Melissa

Published

2025

Language

EN