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