2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154053We prove that some non-self-adjoint differential operator admits factorization and apply this new representation of the operator to construct explicitly its domain. We also show that this operator is J-self-adjoint in some Krein space.8 pagesAnalysis of PDEs34Lxx; 76Rxx; 34B24Factorization of the Indefinite Convection-Diffusion Operatortext