|Title:||Tightness for a stochastic Allen-Cahn equation|
|Abstract:||We study an Allen-Cahn equation perturbed by a multiplicative stochastic noise that is white in time and correlated in space. Formally this equation approximates a stochastically forced mean curvature flow. We derive a uniform bound for the diffuse surface area, prove the tightness of solutions in the sharp interface limit, and show the convergence to phase-indicator functions.|
|Appears in Collections:||Preprints der Fakultät für Mathematik|
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