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Value of a function on the border of a set knowing value of a specific integral

  1. Aug 15, 2009 #1

    TNT

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    A is an open bounded set and its border is β. If a function f
    is known to have a constant unknown value k on this border β, what can we say about k if we know the value d of the following integral over the border β ?

    ∫((∂f)/(∂n))ds = d

    n being the exterior normal
     
  2. jcsd
  3. Aug 16, 2009 #2
    Look at an easy special case: Suppose A is the interval (a,b).
     
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