Observability Estimate for Stochastic Schroedinger Equations

2012/06/04 by Lu, Qi
#35B45 #93B07 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1206.0593

Abstract

In this paper, we establish a boundary observability estimate for stochastic Schrödinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic Schrödinger-like operator. Applications to the state observation problem for semilinear stochastic Schrödinger equations and the unique continuation problem for stochastic Schrödinger equations are also addressed.

Related

• Carleman and Observability Estimates for Stochastic Wave Equations
• Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications
• Exact Controllability for Stochastic Schrodinger Equations
• Carleman and observability estimates for stochastic beam equation
• An Internal Observability Estimate for Stochastic Hyperbolic Equations