Strongly elliptic linear operators without coercive quadratic forms. 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. I. Constant coefficient operators and forms. J. Eur. Math. Soc. 16 (2014), no. 10, pp. 2165–2210

DOI 10.4171/JEMS/485