2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212689We study the existence and the properties of the reduced measures for the parabolic equations $\partial_tu-Δu+g(u)=0$ in $Ω\times (0,\infty)$ subject to the conditions ($P$): $u=0$ on $\partialΩ\times (0,\infty)$, $u(x,0)=μ$ and ($P'$): $u=μ'$ on $\partialΩ\times (0,\infty)$, $u(x,0)=0$ where $μ$ and $μ'$ are positive Radon measures and $g$ a continuous nondecreasing functionAnalysis of PDEs35K60, 34text