Question

Let L be a constant-coefficient operator which annihilates u, where u is a given function of x. Let

M = L

m, the mth power of L, where m > 1. Prove that each of the derivatives M′, M″,…, M(m−1)

also annihilates u.​

Answer 1

Answer:

need to allow for complex values of the parameter λ. ... Definition 3.3.1 (LM)u ≡ L(Mu) and (ML)u ≡ M (Lu). ... that the coefficients of the operators L and M be sufficiently differentiable.

Answer 2

Answer:

sorry I don't know it's answer i hope you get the answers soon please mark me as a brilliant idea