Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Existence and uniqueness of PDEs

  1. Sep 7, 2011 #1

    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?

  2. jcsd
  3. Sep 8, 2011 #2


    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]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook