Explicit Relaxation of a Variational Problem in Optimal Design by Robert v. Kohn and Gilbert Strang
نویسندگان
چکیده
for vector-valued functions u on Lipschitz domains Q c R. The right side of (1) is the relaxation of the left, cf. [1]. Each infimum is over u G if(Q;R), lsupp Vu denotes the characteristic function of the support of Vu, and \Vu\ = E(<hi7cte*)The left side of (1) is a problem of optimal design: it minimizes Area(H \ S) + fQ \Vus\ 2 dx, among all sets S c O , where us solves the variational problem
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