English

Strong Unique Continuation Property for Stochastic Parabolic Equations

Analysis of PDEs 2022-10-25 v4

Abstract

We establish a strong unique continuation property for stochastic parabolic equations. Our method is based on a suitable stochastic version of Carleman estimate. As far as we know, this is the first result for strong unique continuation property of stochastic partial differential equations.

Keywords

Cite

@article{arxiv.1701.02136,
  title  = {Strong Unique Continuation Property for Stochastic Parabolic Equations},
  author = {Zhonghua Liao and Qi Lü},
  journal= {arXiv preprint arXiv:1701.02136},
  year   = {2022}
}
R2 v1 2026-06-22T17:44:37.679Z