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A quantitative internal unique continuation for stochastic parabolic equations

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  • This paper is addressed to a quantitative internal unique continuation property for stochastic parabolic equations, i.e., we show that each of their solutions can be determined by the observation on any nonempty open subset of the whole region in which the equations evolve. The proof is based on a global Carleman estimate.
    Mathematics Subject Classification: Primary: 60H15; Secondary: 34A12.

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