The regular part of second-order differential sectorial forms with lower-order terms
Analysis of PDEs
2015-04-30 v1
Abstract
We present a formula for the regular part of a sectorial form that represents a general linear second-order differential expression that may include lower-order terms. The formula is given in terms of the original coefficients. It shows that the regular part is again a differential sectorial form and allows to characterise when also the singular part is sectorial. While this generalises earlier results on pure second-order differential expressions, it also shows that lower-order terms truly introduce new behaviour.
Cite
@article{arxiv.1307.0186,
title = {The regular part of second-order differential sectorial forms with lower-order terms},
author = {A. F. M. ter Elst and Manfred Sauter},
journal= {arXiv preprint arXiv:1307.0186},
year = {2015}
}
Comments
11 pages