Article ID Journal Published Year Pages File Type
1155416 Stochastic Processes and their Applications 2016 17 Pages PDF
Abstract

One proves here the backward uniqueness of solutions to stochastic semilinear parabolic equations and also for the tamed Navier–Stokes equations driven by linearly multiplicative Gaussian noises. Applications to approximate controllability of nonlinear stochastic parabolic equations with initial controllers are given. The method of proof relies on the logarithmic convexity property known to hold for solutions to linear evolution equations in Hilbert spaces with self-adjoint principal part.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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