Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations
Probability
2010-11-30 v1 Analysis of PDEs
Abstract
In this Note, we present a Calder\'on-type uniqueness theorem on the Cauchy problem of stochastic partial differential equations. To this aim, we introduce the concept of stochastic pseudo-differential operators, and establish their boundedness and other fundamental properties. The proof of our uniqueness theorem is based on a new Carleman-type estimate.
Cite
@article{arxiv.1011.6105,
title = {Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations},
author = {Xu Liu and Xu Zhang},
journal= {arXiv preprint arXiv:1011.6105},
year = {2010}
}
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