2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75905We consider the existence and pathwise uniqueness of the stochastic heat equation with a multiplicative colored noise term on IR^d for d greater or equal to 1. We focus on the case of non-Lipschitz noise coefficients and singular spatial noise correlations. In the course of the proof a new result on Hoelder continuity of the solutions near zero is established.39 pagesProbability60H15; 60K35text