The solution of the Kato square root problem for second order elliptic operators on ${\Bbb R}\sp n$

Date

2002

Authors

Auscher, Pascal
Hofmann, Steve
Lacey, Michael
McIntosh, Alan
Tchamitchian, Philippe

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Princeton University Press

Abstract

We prove the Karo conjecture for elliptic operators on ℝn. More precisely, we establish that the domain of the square root of a uniformly complex elliptic operator L = -div (A∇) with bounded measurable coefficients in ℝn is the Sobolev space H1(ℝn

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Source

Annals of Mathematics

Type

Journal article

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