Estimates near the boundary for critical SQG
Analysis of PDEs
2019-11-11 v1
Abstract
We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.
Keywords
Cite
@article{arxiv.1911.03266,
title = {Estimates near the boundary for critical SQG},
author = {Peter Constantin and Mihaela Ignatova},
journal= {arXiv preprint arXiv:1911.03266},
year = {2019}
}