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September  2018, 7(3): 465-499. doi: 10.3934/eect.2018023

## Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications

 School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, China

* Corresponding author: Peng Gao

Received  September 2017 Revised  February 2018 Published  July 2018

Fund Project: The author is supported by NSFC Grant (11601073).

In this paper, we establish the Carleman estimates for forward and backward stochastic fourth order Schrödinger equations, on basis of which, we can obtain the observability, unique continuation property and the exact controllability for the forward and backward stochastic fourth order Schrödinger equations.

Citation: Peng Gao. Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications. Evolution Equations & Control Theory, 2018, 7 (3) : 465-499. doi: 10.3934/eect.2018023
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