Question: Consider the operator - defined by Lu=-u for r (0,1), with boundary conditions Bi(u) = u(0) and B2(u) = ['(1) - au(1). (a) Find the

Consider the operator - defined by Lu=-u" for r (0,1), with boundary conditions Bi(u) = u(0) and B2(u) = ['(1) - au(1). (a) Find the values of a for which the operator is positive definite by forming the inner product (u, Lu). Consider the operator - defined by Lu=-u" for r (0,1), with boundary conditions Bi(u) = u(0) and B2(u) = ['(1) - au(1). (a) Find the values of a for which the operator is positive definite by forming the inner product (u, Lu)
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