108 citations · 614 across the 35 of their papers we have counts for
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math.AP2009★ 29 cited
Tightness for a stochastic Allen--Cahn equation
Matthias Röger, Hendrik Weber
We study an Allen-Cahn equation perturbed by a multiplicative stochastic noise which is white in time and correlated in space. Formally this equation approximates a stochastically…
math.PR2009★ 22 cited
Sharp interface limit for invariant measures of a stochastic Allen-Cahn equation
Hendrik Weber
The invariant measure of a one-dimensional Allen-Cahn equation with an additive space-time white noise is studied. This measure is absolutely continuous with respect to a Brownian…
math.PR2009★ 37 cited
On the short time asymptotic of the stochastic Allen-Cahn equation
Hendrik Weber
A description of the short time behavior of solutions of the Allen-Cahn equation with a smoothened additive noise is presented. The key result is that in the sharp interface limit…