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33 p, 487.6 KB The Kato Square Root Problem follows from an extrapolation property of the Laplacian / Egert, Moritz (Université Paris-Sud. Laboratoire de Mathématiques d'Orsay) ; Haller-Dintelmann, Robert (Technische Universität Darmstadt. Fachbereich Mathematik) ; Tolksdorf, Patrick (Technische Universität Darmstadt. Fachbereich Mathematik)
On a domain Ω ⊆ _ Rd we consider second-order elliptic systems in divergence-form with bounded complex coefficients, realized via a sesquilinear form with domain H1/0 (Ω) ⊆ V ⊆ H1 (Ω). Under very mild assumptions on Ω and V we show that the solution to the Kato Square Root Problem for such systems can be deduced from a regularity result for the fractional powers of the negative Laplacian in the same geometric setting. [...]
2016 - 10.5565/PUBLMAT_60216_05
Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 451-483 (Articles)  

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