A dual method in the calculation of homogenisation and applications

Qi Tang · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1988

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.

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