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The estimates for the Green Function in Lipschitz domains for the symmetric stable processes
Green function Lipschitz domain Poisson kernel boundary Harnack principle
2009/9/21
We give sharp global estimates for the Green function,
Martin kernel and Poisson kernel in Lipschitz domains for symmetric
a-stable processes. We give some applications of the estimates.
Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains
reecting Brownian motion
2009/4/22
We give a simple proof that in a Lipschitz domain in two dimensions with Lipschitz constant one, there is pathwise uniqueness for the Skorokhod equation governing reflecting Brownian motion.
Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains
Brownian motion Lipschitz domains
2009/4/2
We give a simple proof that in a Lipschitz domain in two dimensions with Lipschitz constant one, there is pathwise uniqueness for the Skorokhod equation governing reflecting Brownian motion.