화학공학소재연구정보센터
SIAM Journal on Control and Optimization, Vol.51, No.1, 121-144, 2013
OBSERVABILITY ESTIMATE FOR STOCHASTIC SCHRODINGER EQUATIONS AND ITS APPLICATIONS
In this paper, we establish a boundary observability estimate for stochastic Schrodinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic Schrodinger-like operator. Applications to the state observation problem for semilinear stochastic Schrodinger equations and the unique continuation problem for stochastic Schrodinger equations are also addressed.