Kalman-Bucy filter and SPDEs with growing lower-order coefficients in W1p spaces without weights.
- đ¤ Speaker: Krylov, N (University of Minnesota)
- đ Date & Time: Monday 14 June 2010, 09:50 - 10:40
- đ Venue: Seminar Room 1, Newton Institute
Abstract
We consider divergence form uniformly parabolic SPD Es with VMO bounded leading coefficients, bounded coefficients in the stochastic part, and possibly growing lower-order coefficients in the deterministic part. We look for solutions which are summable to the p-th power, p=2, with respect to the usual Lebesgue measure along with their first-order derivatives with respect to the spatial variable. Our methods allow us to include Zakai’s equation for the Kalman-Bucy filter into the general filtering theory.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Monday 14 June 2010, 09:50-10:40