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arXiv · 1912.09169

On the numerical range of sectorial forms

Antonius Frederik Maria ter Elst·Joachim Rehberg·Alexander Linke
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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 $\mathcal{H}^\infty$-angle for the $\mathcal{H}^\infty$-calculus on $L_p$ for all $p \in (1,\infty)$ if the coefficients are real valued.

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Antonius Frederik Maria ter Elst, Joachim Rehberg, Alexander Linke. 2019-12-19. On the numerical range of sectorial forms. https://arxiv.org/abs/1912.09169

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