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Journal of Evolution Equations

, Volume 13, Issue 4, pp 737–749 | Cite as

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

  • A. F. M. ter Elst
  • Manfred Sauter
Article

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.

Mathematics Subject Classification (2000)

Primary: 47A07 Secondary: 35J70 

Keywords

Differential sectorial forms non-closable forms regular part degenerate elliptic operators 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of MathematicsThe University of AucklandAucklandNew Zealand

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