Large Deviations for Stochastic Heat Equation with Rough Dependence in Space

Research output: Contribution to journalArticle

  • Authors:
  • Y Hu
  • D Nualart
  • Tusheng Zhang

Abstract

In this paper we establish a large deviation principle for the nonlinear onedimensional stochastic heat equation driven by a Gaussian noise which is white in time and has the covariance of a fractional Brownian motion with Hurst parameter H ∈ ( 1/4 ; 1/2) in the space variable.

Bibliographical metadata

Original languageEnglish
JournalBernoulli
StateAccepted/In press - 3 Jul 2016