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On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
We show that if « is a weak solution to div(AVu) = 0 on an open set Í2 containing a Lipschitz domain D , where A = IcIxd + IXci/d (^ > 0 , k ^ 1 ).Then, the nontangential maximal function of the gradient of u lies in L2(dD).