1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

  1. Aug 15, 2009 #1


    User Avatar

    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).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook