ON THE WELL-POSEDNESS OF PARABOLIC EQUATIONS OF NAVIER-STOKES TYPE WITH BMO-1 DATA

被引：5

作者：

Auscher, Pascal ^{[1
]}

Frey, Dorothee ^{[1
]}

机构：

[1] Univ Paris 11, CNRS, UMR 8628, Lab Math, F-91405 Orsay, France

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2017年 / 16卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

Navier-Stokes equations; tent spaces; maximal regularity; Hardy spaces; 2ND-ORDER ELLIPTIC-OPERATORS; HEAT KERNEL; RIEMANNIAN-MANIFOLDS; FUNCTION-SPACES; HARDY-SPACES; TENT SPACES; L-P; REGULARITY; INFINITY; DOMAINS;

D O I：

10.1017/S1474748015000158

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a strategy making extensive use of tent spaces to study parabolic equations with quadratic nonlinearities as for the Navier Stokes system. We begin with a new proof of the well-known result of Koch and Tataru on the well-posedness of Navier Stokes equations in R-n with small initial data in BMO-1(R-n). We then study another model where neither pointwise kernel bounds nor self-adjointness are available.

引用

页码：947 / 985

页数：39

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