16 citations · 31 across the 3 of their papers we have counts for
3 papers
math.PR2008★ 14 cited
Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: the white noise case
Leonid Mytnik, Edwin Perkins
We prove pathwise uniqueness for solutions of parabolic stochastic pde's with multiplicative white noise if the coefficient is Hölder continuous of index . The method of pro…
math.PR2005★ 1 cited
On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
Leonid Mytnik, Edwin Perkins, Anja Sturm
We 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…
math.PR2005★ 16 cited
Stochastic integral representation and regularity of the density for the Exit measure of super-Brownian motion
Jean-Francois Le Gall, Leonid Mytnik
This paper studies the regularity properties of the density of the exit measure for super-Brownian motion with (1+β)-stable branching mechanism. It establishes the continuity of th…