On the numerical range of sectorial forms
Analysis of PDEs
2019-12-20 v1 Functional Analysis
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 -angle for the -calculus on for all if the coefficients are real valued.
Cite
@article{arxiv.1912.09169,
title = {On the numerical range of sectorial forms},
author = {Antonius Frederik Maria ter Elst and Joachim Rehberg and Alexander Linke},
journal= {arXiv preprint arXiv:1912.09169},
year = {2019}
}