Observability Estimate for Stochastic Schroedinger Equations
Abstract
In this paper, we establish a boundary observability estimate for stochastic Schr\"odinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic Schr\"odinger-like operator. Applications to the state observation problem for semilinear stochastic Schr\"odinger equations and the unique continuation problem for stochastic Schr\"odinger equations are also addressed.
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