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Steady state solution in PDE

  1. Dec 16, 2011 #1

    mbp

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    Hello to everyone. I am new with this forum and I am asking help with PDE.

    I have a linear PDE:
    L f(x,y,t) = 0
    where L is a second order linear operator depending on x, y, their partial derivatives, and t, but not on derivatives with respect to t. The question is: does this PDE in general admit steady state (time independent) solutions f(x,y)?

    Thanks in advance.
     
  2. jcsd
  3. Dec 19, 2011 #2

    hunt_mat

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    Homework Helper

    Set all derivative terms w.r.t. t equal to zero and see if you can solve it.
     
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