Finding Adjoint Operators
Problem: Find the adjoint operator and its domain for:
a) . (Assume is continuously differentiable and is continuous on the interval .
This is the answer, I just need to see the steps to arrive there:
, with boundary conditions .
b)
Again, here is the answer, but I need to see the solution method:
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Problem: Find the adjoint operator and its domain for:
a) . (Assume is continuously differentiable and is continuous on the interval .
This is the answer, I just need to see the steps to arrive there:
, with boundary conditions .
Solution. By definition of the adjoint operator L, we have
(1)
Now we integrate by parts, we have
...
Solution Summary
Adjoint operators are found. The solution is detailed and well presented.