Estimates Near the Boundary for Critical SQG

被引：8
作者：
Constantin, Peter [1 ]
Ignatova, Mihaela [2 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
ANNALS OF PDE | 2020年 / 6卷 / 01期
关键词：
SQG; Global regularity; Estimates near the boundary; Bounded domains; 35Q35; 35Q86;
D O I：
10.1007/s40818-020-00079-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：30
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