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arXiv · 1307.0186

The regular part of second-order differential sectorial forms with lower-order terms

A. F. M. ter Elst·Manfred Sauter
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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.

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A. F. M. ter Elst, Manfred Sauter. 2013-06-30. The regular part of second-order differential sectorial forms with lower-order terms. https://doi.org/10.1007/s00028-013-0200-8

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