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  • 1 Post By ryotiger

Math Help - PDE

  1. #1
    Newbie
    Joined
    Sep 2008
    Posts
    24

    PDE

    Hello!

    PDE-untitled.png

    How can I find out the max and min of u(x,y)?
    I don't know how to use the maximum principle in this case.

    Thank you!
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  2. #2
    Newbie
    Joined
    Feb 2014
    From
    france
    Posts
    5
    Thanks
    3

    Re: PDE

    Hi

    In the case of your problem ($\Delta u=0$ and $\Omega$ bounded), the (weak) principle maximum says that the function $u$ reaches his maximum (resp. his minimum) on the boundary of the domain $\Omega$. So the maximum and the minimum of the solution $u$ of your problem is relatively simple to find.
    Thanks from mash
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