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

Author: D'Onofrio Luigi   Greco Luigi  

Publisher: Royal Society of Edinburgh

ISSN: 1473-7124

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.133, Iss.6, 2003-12, pp. : 1299-1310

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.