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Self adjoint differential equation?

  1. Nov 22, 2011 #1
    Hello everyone, could you please make me understand, what are self-adjoint equations? and how can we convert a differential equation into a self-adjoint form?

    Thank you.
     
  2. jcsd
  3. Nov 26, 2011 #2

    hunt_mat

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    Homework Helper

    Let [itex]T[/itex] by the differential equation and denote an inner product by:
    [tex]
    (v,Tu)=\int vTudx
    [/tex]
    If
    [tex]
    (T^{\star}v,u)=(v,Tu)
    [/tex]
    Then the differential operator is self adjoint.
     
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