Unique Continuation for Stochastic Parabolic Equations
Analysis of PDEs
2007-05-23 v1 Optimization and Control
Abstract
This paper is devoted to a study of the unique continuation property for stochastic parabolic equations. Due to the adapted nature of solutions in the stochastic situation, classical approaches to treat the the unique continuation problem for deterministic equations do not work. Our method is based on a suitable partial Holmgren coordinate transform and a stochastic version of Carleman-type estimate.
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Cite
@article{arxiv.math/0612610,
title = {Unique Continuation for Stochastic Parabolic Equations},
author = {Xu Zhang},
journal= {arXiv preprint arXiv:math/0612610},
year = {2007}
}
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11 pages