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

Journal of the European Mathematical Society (2014)

- Volume: 016, Issue: 10, page 2165-2210
- ISSN: 1435-9855

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topVerchota, 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 -

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