Self adjoint differential equation?

  • Thread starter vivek.iitd
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  • #1
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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.
 

Answers and Replies

  • #2
hunt_mat
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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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