2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155439In this short note we extend Chow and Lu's advanced maximum principles for parabolic systems on closed manifolds to the case of compact manifolds with boundary, which also generalizes a Hopf type theorem of Pulemotov.4 pages, the main result is generalizedDifferential GeometryAnalysis of PDEs53C44, 58J35text