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A dual method in the calculation of homogenisation and applications

Published online by Cambridge University Press:  14 November 2011

Tang Qi
Tang Qi
Affiliation:
Institute of Mathematics, Fudan University, Shanghai, People's Republic of, China
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Synopsis

We give a new method for calculating the Γ-limit functional encountered in the problems of homogenisation. We use the Legendre–Lagrange transform in the convex analysis and regularisation method to obtain the explicit expression of the Γ-limit functional. The result can be applied to some nonlocal function spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 3-4 , 1988 , pp. 321 - 334
Copyright
Copyright © Royal Society of Edinburgh 1988

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