Displaying similar documents to “An Ingham type proof for a two-grid observability theorem”

Is it wise to keep laminating?

Marc Briane, Vincenzo Nesi (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the corrector matrix P ε  to the conductivity equations. We show that if P ε  converges weakly to the identity, then for any laminate det P ε ≥ 0 at almost every point. This simple property is shown to be false for generic microgeometries if the dimension is greater than two in the work Briane [, to appear]. In two dimensions it holds true for any microgeometry as a corollary of the work in Alessandrini and Nesi [ (2001) 155-171]. We use this property of laminates to prove...