Table of Contents: :: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Cardona, Duván, Kirilov, Alexandre, de Moraes, Wagner A. A., Kowacs, André Pedroso
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2404.00182
Tags:	Add Tag No Tags, Be the first to tag this record!

Table of Contents:

We analyze the sharpness of the Sobolev order for left-invariant vector fields on compact Riemannian manifolds. Utilizing techniques from pseudo-differential operator theory and microlocal analysis, we investigate the asymptotic behavior of eigenvalues associated with these vector fields. As an application, we demonstrate the ill-posedness of a class of Cauchy problems involving left-invariant vector fields on compact Lie groups.