1. Mar 25, 2010

### terryaki1016

If L is the following first-order linear differential operator
L = p(x) d/dx
then determine the adjoint operator L* such that
integral from (a to b) [uL*(v) − vL(u)] dx = B(x) |from b to a|
What is B(x)?

sorry.. on my book theres only self-adjointness

i dont quiet understand what is the adjoint liear operator.

may someone solve this problem and tell me what exactly adjoint linear operator is ?

2. Mar 25, 2010

### Fredrik

Staff Emeritus
The adjoint $A^\dagger$ of a linear operator $A$ is defined by $\langle x,Ay\rangle=\langle A^\dagger x,y\rangle$. Physicists write the adjoint as $A^\dagger$, mathematicians write it as $A^*$. A is self-adjoint if $A^\dagger=A$.

3. Mar 25, 2010

### terryaki1016

how to find the A* then.. sry :(