Strong Unique Continuation Property for Stochastic Parabolic Equations (1701.02136v4)

Published 9 Jan 2017 in math.AP

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.

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