Strongly elliptic linear operators without coercive quadratic forms I. Constant coefficient operators and forms

Verchota, Gregory C.. "Strongly elliptic linear operators without coercive quadratic forms I. Constant coefficient operators and forms." Journal of the European Mathematical Society 016.10 (2014): 2165-2210. <http://eudml.org/doc/277409>.

@article{Verchota2014,
abstract = {A family of linear homogeneous 4th order elliptic differential operators $L$ with real constant coefficients, and bounded nonsmooth convex domains $\Omega $ are constructed in $\mathbb \{R\}^6$ so that the $L$ have no constant coefficient coercive integro-differential quadratic forms over the Sobolev spaces $W^\{2,2\}(\Omega )$.},
author = {Verchota, Gregory C.},
journal = {Journal of the European Mathematical Society},
keywords = {Neumann problem; Rellich identity; Legendre–Hadamard; Korn inequality; Lax–Milgram; sum of squares; null form; indefinite form; Neumann problem; Rellich identity; Legendre-Hadamard system; Korn inequality; Lax-Milgram theorem; sum of squares; null form; indefinite form},
language = {eng},
number = {10},
pages = {2165-2210},
publisher = {European Mathematical Society Publishing House},
title = {Strongly elliptic linear operators without coercive quadratic forms I. Constant coefficient operators and forms},
url = {http://eudml.org/doc/277409},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Verchota, Gregory C.
TI - Strongly elliptic linear operators without coercive quadratic forms I. Constant coefficient operators and forms
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 10
SP - 2165
EP - 2210
AB - A family of linear homogeneous 4th order elliptic differential operators $L$ with real constant coefficients, and bounded nonsmooth convex domains $\Omega $ are constructed in $\mathbb {R}^6$ so that the $L$ have no constant coefficient coercive integro-differential quadratic forms over the Sobolev spaces $W^{2,2}(\Omega )$.
LA - eng
KW - Neumann problem; Rellich identity; Legendre–Hadamard; Korn inequality; Lax–Milgram; sum of squares; null form; indefinite form; Neumann problem; Rellich identity; Legendre-Hadamard system; Korn inequality; Lax-Milgram theorem; sum of squares; null form; indefinite form
UR - http://eudml.org/doc/277409
ER -