Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications

被引：39

作者：

Constantin, Peter ^{[1
]}

Ignatova, Mihaela ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2017年 / 2017卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rnw098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equations with nonlocal dissipation and global existence of weak solutions of critical surface quasi-geostrophic equations.

引用

页码：1653 / 1673

页数：21

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