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What is the class of this equation?

  1. Jan 13, 2014 #1
    Hi all,

    Please tell me the class of this equation, and if possible how to solve this kind of equations:

    [itex]\Delta[/itex]u([itex]\vec{r}[/itex])=F(u([itex]\vec{r}[/itex]),[itex]\vec{r}[/itex])


    Thanks in advance.
     
  2. jcsd
  3. Jan 13, 2014 #2

    Simon Bridge

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    3D 2nd order non-linear - no 1st order term.
    IIRC: There are no general approaches for solving this type of equation.
    The trouble is that the RHS function can be ANYTHING.
     
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