Strongly elliptic linear operators without coercive quadratic forms<br>I. Constant coefficient operators and forms
Gregory C. Verchota
Syracuse University, USA
Abstract
A family of linear homogeneous 4th order elliptic differential operators with real constant coefficients, and bounded nonsmooth convex domains are constructed in so that the have no constant coefficient coercive integro-differential quadratic forms over the Sobolev spaces .
Cite this article
Gregory C. Verchota, Strongly elliptic linear operators without coercive quadratic forms<br>I. Constant coefficient operators and forms. J. Eur. Math. Soc. 16 (2014), no. 10, pp. 2165–2210
DOI 10.4171/JEMS/485