Semi-classical propagation of singularity for Stokes system
Analysis of PDEs
2020-01-06 v3
Abstract
We study the quasi-mode of Stokes system posed on a smooth bounded domain with Dirichlet boundary condition. We prove that the high energy L2 norm of solutions concentrate on the bi-characteristic of Laplace operator as matrix-valued Radon measure. Moreover, we prove that the support of such measure is invariant under Melrose-Sj\"ostrand flow.
Keywords
Cite
@article{arxiv.1710.07996,
title = {Semi-classical propagation of singularity for Stokes system},
author = {Chenmin Sun},
journal= {arXiv preprint arXiv:1710.07996},
year = {2020}
}
Comments
56 pages