روزنامه با شماره پیاپی سال 2004

31

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171

We prove the well-posedness of the transmission problem for the Laplacian across a Lipschitz interface, with optimal non-tangential maximal function estimates, for data in Lebesgue and Hardy spaces on the boundary. As a corollary, we show that the spectral radius of the (adjoint) harmonic double layer potential K∗ in Lp0(∂Ω) is less than 12, whenever Ω is a bounded convex domain and 1