Browsing by Author "Perkins, Edwin"
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Item On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients(Department of Mathematical Sciences, 2005-02-28) Mytnik, Leonid; Perkins, Edwin; Sturm, AnjaWe 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.