An abstract Gelfand-triple theory establishes mean-square and uniform almost-sure convergence for nudging-based data assimilation in semilinear parabolic equations with multiplicative observation noise.
Kalnay.Atmospheric Modeling, Data Assimilation and Predictability
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Continuous Data Assimilation for Semilinear Parabolic Equations with Multiplicative Observation Noise
An abstract Gelfand-triple theory establishes mean-square and uniform almost-sure convergence for nudging-based data assimilation in semilinear parabolic equations with multiplicative observation noise.