An extension of G-convergence to the class of degenerate elliptic operators
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.
scientific article; zbMATH DE number 4212596