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Existence and uniqueness of PDEs

  1. Sep 7, 2011 #1
    Hello,

    I have a PDE:

    3*u_x + 2*u_y = 0, and I am interested in determining initial values such that there is a unique solution, there are multiple solutions, and there are no solutions at all.

    What theorem(s)/techniques would be of use to me for something like this?

    Regards,
    Dan
     
  2. jcsd
  3. Sep 8, 2011 #2

    hunt_mat

    User Avatar
    Homework Helper

    You should be thinking of the method of characteristics.

    The general solution to your equation is [itex]u=f(2x-3y)[/itex]
     
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