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Self Adjoint Operators

Find the adjoint differential operator L* and the space on which it acts if:

Lu = u"+au'+bu

Where
u(0)=u'(1)
u(1)=u'(0)

Lu = -[p(x)u']'+q(x)u

Where
u(0)=u(1)
u'(0)=u('1)

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The expert examines self adjoint operators. The space of the acts are given functions are provided.

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