Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-10-31T03:04:20.038Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  12 July 2007

Luigi D'Onofrio
Affiliation:
Dipartimento di Matematica e Applicazioni, Universitá di Napoli, via Cintia, 80126 Napoli, Italyldonofri@unina.it
Luigi Greco
Affiliation:
Dipartimento di Matematica e Applicazioni, Universitá di Napoli, via Cintia, 80126 Napoli, Italyldonofri@unina.it

Abstract

In a planar domain, to each function wW2,2 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
Copyright
Copyright © Royal Society of Edinburgh 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)