Observability Estimate and State Observation Problems for Stochastic Hyperbolic Equations
نویسنده
چکیده
In this paper, we derive a boundary and an internal observability inequality for stochastic hyperbolic equations with nonsmooth lower order terms. The required inequalities are obtained by global Carleman estimate for stochastic hyperbolic equations. By these inequalities, we study a state observation problem for stochastic hyperbolic equations. As a consequence, we also establish a unique continuation property for stochastic hyperbolic equations. 2010 Mathematics Subject Classification. Primary 65N21, 60H15, 93B07.
منابع مشابه
Observability Inequalities by Internal Observation and Its Applications
By means of Carleman estimate, we obtain several observability inequalities by internal observation for hyperbolic equations with lower order terms. Also, we apply our observability results to exact controllability problems and an inverse wave sourse problem. AMS subject classification: 93B05, 93B07, 93D15
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