The regular part of second-order differential sectorial forms with lower-order terms
arXiv:1307.0186 · doi:10.1007/s00028-013-0200-8
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.
11 pages