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

  • Thread starter TNT
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  • #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
 

Answers and Replies

  • #2
1,357
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Look at an easy special case: Suppose A is the interval (a,b).
 

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