2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52401A rigorous treatment is given of the Green's function of the N=1 supersymmetric heat equation in one spatial dimension with a distribution initial value. The asymptotic expansion of the supersymmetric Green's function as t tends to 0+ is also derived. The coefficients of the expansion generate all the members of the supersymmetric N=1 KdV hierarchy.16 pages on LatexHigh Energy Physics - Theorytext