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A counter-example in G-convergence of non-divergence elliptic operators

Published online by Cambridge University Press:  12 July 2007

Luigi D'Onofrio  and
Luigi Greco
Luigi D'Onofrio
Affiliation:
Dipartimento di Matematica e Applicazioni, Universitá di Napoli, via Cintia, 80126 Napoli, [email protected]
Luigi Greco
Affiliation:
Dipartimento di Matematica e Applicazioni, Universitá di Napoli, via Cintia, 80126 Napoli, [email protected]
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Abstract

In a planar domain, to each function w ∈ W2,2 satisfying a suitable condition we associate a non-divergence elliptic differential operator 𝔏 such that 𝔏w = 0. For a given converging sequence {wk}, we study G-convergence of the corresponding sequence {𝔏k} of operators.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 6 , December 2003 , pp. 1299 - 1310
Copyright
Copyright © Royal Society of Edinburgh 2003

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