2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138569Approximation theorems, analogous to known results for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise to approximation theorems for a nonlinear parabolic equation, Burgers' equation.16 pagesAnalysis of PDEsMathematical Physics41A20, 35J60 (Primary) 41-XX (Secondary)text