Mytnik, LeonidPerkins, EdwinSturm, Anja2005-06-022005-06-022005-02-28http://udspace.udel.edu/handle/19716/1298We consider the existence and pathwise uniqueness of the stochastic heat equation with a multiplicative colored noise term on R d for d greater than 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 Holder continuity of the solutions near zero is established.347463 bytesapplication/pdfen-USHeat equationcolored noisestochastic partial ddifferential equationuniquenessexistenceAMS: Primary 60H15, 60K35 Secondary 60K37, 60J80, 60F05Technical Report