Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

Xu Liu; Xu Zhang

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arXiv · 1011.6105

Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

Xu Liu·Xu Zhang

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Abstract

In this Note, we present a Calderón-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.

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Xu Liu, Xu Zhang. 2010-11-28. Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations. https://arxiv.org/abs/1011.6105

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