Square roots of elliptic second order divergence operators on strongly Lipschitz domains:: L2 theory

被引：38

作者：

Auscher, P ^{[1
]}

Tchamitchian, P

机构：

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

[2] Univ Aix Marseille 3, Fac Sci & Tech St Jerome, F-13397 Marseille 20, France

[3] CNRS, LATP, UMR 6632, F-75700 Paris, France

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2003年 / 90卷 / 1期

关键词：

D O I：

10.1007/BF02786549

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Kato conjecture for square roots of elliptic second order non-self-adjoint operators in divergence form L = -div(AV) on strongly Lipschitz domains in R-n, n greater than or equal to 2, subject to Dirichlet or to Neumann boundary conditions. The method relies on a transference procedure from the recent positive result on R-n in [2].

引用

页码：1 / 12

页数：12

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