Note on the Gradient of the Green ' S Function

نویسنده

  • G. C. EVANS
چکیده

where Vg(M, P) denotes the gradient of the Green's function with pole at M, is bounded, independently of the position of M in T. A corresponding result holds for convex regions in three dimensions. It is the purpose of this note to bring out some of the differences between the twoand three-dimensional situations by a comparison of the analyses for the general plane simply connected region and the star-shaped three-dimensional region.

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تاریخ انتشار 2007