Observability Estimate for Stochastic Schroedinger Equations

Qi Lu

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arXiv · 1206.0593

Observability Estimate for Stochastic Schroedinger Equations

Qi Lu

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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.

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Qi Lu. 2013-05-03. Observability Estimate for Stochastic Schroedinger Equations. https://arxiv.org/abs/1206.0593

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