Dissipation in Parabolic SPDEs

@article{Khoshnevisan2018DissipationIP,
  title={Dissipation in Parabolic SPDEs},
  author={D. Khoshnevisan and K. Kim and C. Mueller and S. Shiu},
  journal={Journal of Statistical Physics},
  year={2018},
  volume={179},
  pages={502-534}
}
  • D. Khoshnevisan, K. Kim, +1 author S. Shiu
  • Published 2018
  • Mathematics
  • Journal of Statistical Physics
  • The study of intermittency for the parabolic Anderson problem usually focuses on the moments of the solution which can describe the high peaks in the probability space. In this paper we set up the equation on a finite spatial interval, and study the other part of intermittency, i.e., the part of the probability space on which the solution is close to zero. This set has probability very close to one, and we show that on this set, the supremum of the solution over space is close to 0. As a… CONTINUE READING

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