Egert, Moritz; Haller-Dintelmann, Robert; Tolksdorf, Patrick The Kato square root problem follows from an extrapolation property of the Laplacian. (English) Zbl 1349.35112 Publ. Mat., Barc. 60, No. 2, 451-483 (2016). The authors consider the Kato square root problem for maximal accretive realizations of complex-valued elliptic systems in divergence form on a wide class of domains. They relate the solution of this problem to a regularity result for the negative Laplacian in the same setting. Reviewer: Georg Hetzer (Auburn) Cited in 9 Documents MSC: 35J57 Boundary value problems for second-order elliptic systems 47A60 Functional calculus for linear operators 42B37 Harmonic analysis and PDEs Keywords:Kato’s square root problem; sectorial and bisectorial operators; functional calculus; quadratic estimates; Carleson measures × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid HAL