Question: Consider the eigenvalue problem (D2 - )SW + RaW = 0, a where D= az subject to one of the following sets of boundary conditions,

Consider the eigenvalue problem (D2 - )SW + RaW = 0,

Consider the eigenvalue problem (D2 - )SW + RaW = 0, a where D= az subject to one of the following sets of boundary conditions, at z = 0,1, (a) W = DW = (D2 a)W = 0 (b) W = DPW = (D2 - 2)W=0 at 2 = 0,1. For each set, is the problem self-adjoint? If not, what is the adjoint prob- lem? Consider the eigenvalue problem (D2 - )SW + RaW = 0, a where D= az subject to one of the following sets of boundary conditions, at z = 0,1, (a) W = DW = (D2 a)W = 0 (b) W = DPW = (D2 - 2)W=0 at 2 = 0,1. For each set, is the problem self-adjoint? If not, what is the adjoint prob- lem

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