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Thread: Characterizing Systems of PDEs

  1. #1
    Senior Member
    Mar 2009

    Characterizing Systems of PDEs

    So I have a system of PDEs
    $\displaystyle u_{tt} + v_{xx} = 0$
    $\displaystyle u_{xx} - v = 0$
    and I need to figure out if it is elliptic, parabolic, or hyperbolic. So there is this t+s method, where s is the factor associated with the equation and t is associated with the variable, that I am trying to figure out but I don't have a clue. Can someone explain this method? I understand we assign values to the various t and s such that they satisfy some criteria, but I can't seem to figure out this criteria.
    Last edited by lvleph; Feb 14th 2010 at 04:42 PM.
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