2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116439We prove the existence and the uniqueness of strong solutions for the viscous Hamilton-Jacobi Equation with Neumann boundary condition and initial data a continious function. Then, we study the large time behavior of the solutions.32 pagesAnalysis of PDEsLarge time behavior for a viscous Hamilton-Jacobi equation with Neumann boudary conditiontext