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Homework Help: Simple PDE argument

  1. Apr 5, 2010 #1
    [PLAIN]http://img146.imageshack.us/img146/331/capturexz.jpg[b]1. [Broken] The problem statement, all variables and given/known data[/b]



    2. Relevant equations

    N/A

    3. The attempt at a solution

    Well, I think I've solved it, but I just want to share my thoughts to verify it's right. Here's my argument:

    I think it's possible, only if u in entire [tex]\Omega[/tex][tex]_{2}[/tex]\[tex]\Omega[/tex] is a constant equal to 2.

    I think the key thing in this question apart from the maximum principles is to believe u doesn't have to be continous all the time, and if discontinouity is allowed at the boundary [tex]\partial[/tex][tex]\Omega[/tex], then u indeed can be a constant equal to 2.

    What do you guys think?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
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