English

Carleman estimates for forward and backward stochastic fourth order Schr\"odinger equations and their applications

Optimization and Control 2017-03-13 v1

Abstract

In this paper, we establish the Carleman estimates for forward and backward stochastic fourth order Schr\"{o}dinger 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 Schr\"{o}dinger equations.

Keywords

Cite

@article{arxiv.1703.03629,
  title  = {Carleman estimates for forward and backward stochastic fourth order Schr\"odinger equations and their applications},
  author = {Peng Gao},
  journal= {arXiv preprint arXiv:1703.03629},
  year   = {2017}
}