An extension of G-convergence to the class of degenerate elliptic operators
type: Item
instance of: scholarly article
title: An extension of G-convergence to the class of degenerate elliptic operators
zbMATH Open document ID: 0733.35047
author: Francesco Serra Cassano
published in: Ricerche di Matematica
publication date: 1989-01-01T00:00:00Z
review text: The author introduces a generalization of the G-convergence, which is applicable to degenerate elliptic operators i.e. operators of the form \(A=-div(a(x)\cdot D)\), in which the matrix of the coefficient a(x) is symmetric and the minimum and the maximum of the eigenvalues \(\lambda\) and \(\Lambda\) are such that \(\Lambda\geq 0\) a.e. and \(\lambda\) and \(\lambda^{-1}\) are in \(L^ 1\) and \(\Lambda\lambda\) is in \(L^{\infty}.\) He gives some density and compactness results for the new convergence notion.
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 4212596
zbMATH Keywords: G-convergence
zbMATH Keywords: density
zbMATH Keywords: compactness
reviewed by: Elvira Mascolo
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4212596