期刊
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
卷 126, 期 7, 页码 2163-2179出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.spa.2016.01.007
关键词
Stochastic parabolic equation; Backward uniqueness; Approximating controllability
资金
- CNCS-UEFISCDI project [PN-II-ID-PCE-2012-4-0456]
- Bibos-Research Centre
- Romanian National Authority for Scientific Research
- DFG [CRC 701]
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. (C) 2016 Elsevier B.V. All rights reserved.
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