A counter-example in G-convergence of non-divergence elliptic operators
Published online by Cambridge University Press: 12 July 2007
Abstract
In a planar domain, to each function w ∈ W2,2 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
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 6 , December 2003 , pp. 1299 - 1310
- Copyright
- Copyright © Royal Society of Edinburgh 2003
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