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On the Gradient of the Torsion Function for Elongated Cylinders

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Let ( 0 , L ) × E a ⊂ R d + 1 denote the cylinder of length L, and base E a ⊂ R d , where E a is an open ellipsoid with semi-axes a = ( a 1 , . . . , a d ) . Let w ( 0 , L ) × E a denote its torsion function. Heat equation tool... ...