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On the numerical range of sectorial forms

2019, ter Elst, A.F.M., Linke, Alexander, Rehberg, Joachim

We provide a sharp and optimal generic bound for the angle of the sectorial form associated to a non-symmetric second-order elliptic differential operator with various boundary conditions. Consequently this gives an, in general, sharper H∞-angle for the H∞-calculus on Lp for all p ∈ (1, ∞) if the coefficients are real valued.