On the numerical range of sectorial forms

2019/12/19 by ter Elst, Antonius Frederik Maria, Rehberg, Joachim, Linke, Alexander · 1 citation
#47A12 #47A60 #47B44 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1912.09169

Abstract

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 L_p for all p ∈ (1,∞) if the coefficients are real valued.

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• Sharp angle estimates for second order divergence operators

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