English

Rescaling nonlinear noise for 1D stochastic parabolic equations

Probability 2018-09-05 v4

Abstract

In this paper we will show that the solution of 1D stochastic parabolic equation with additive noise converges to a martingale (independent upon space variable) when we rescale noise at the extremum points of the process.

Keywords

Cite

@article{arxiv.1502.03574,
  title  = {Rescaling nonlinear noise for 1D stochastic parabolic equations},
  author = {B. Goldys and M. Neklyudov},
  journal= {arXiv preprint arXiv:1502.03574},
  year   = {2018}
}

Comments

14 pages; Minor corrections

R2 v1 2026-06-22T08:28:14.417Z