cvgmt: A counter example in $G$-convergence of nondivergence elliptic operators

Calculus of Variations and Geometric Measure Theory

L. D'Onofrio - L. Greco

A counter example in $G$-convergence of nondivergence elliptic operators

created on 18 Dec 2002
modified by greco on 15 Dec 2005

[BibTeX]

Published Paper

Inserted: 18 dec 2002
Last Updated: 15 dec 2005

Journal: Proceedings of the Royal society of Edinburgh
Volume: 133A
Pages: 1299-1310
Year: 2003

Abstract:

In a planar domain, to each function $w\in W^{2,2}$ satisfying a suitable condition we associate a nondivergence elliptic differential operator $L$ such that $L u=0$. For a given converging sequence $\{w_k\}$, we study $G$-convergence of the corresponding sequence $\{L_k\}$ of operators.