• Corpus ID: 238743948

Random separation property for stochastic Allen-Cahn-type equations

  title={Random separation property for stochastic Allen-Cahn-type equations},
  author={Federico Bertacco and Carlo Orrieri and Luca Scarpa},
We study a large class of stochastic p-Laplace Allen-Cahn equations with singular potential. Under suitable assumptions on the (multiplicative-type) noise we first prove existence, uniqueness, and regularity of variational solutions. Then, we show that a random separation property holds, i.e. almost every trajectory is strictly separated in space and time from the potential barriers. The threshold of separation is random, and we further provide exponential estimates on the probability of… 


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