Null Controllability for Fourth Order Stochastic Parabolic Equations
Qi Lü, Yu Wang
Abstract
We establish the null controllability for fourth order stochastic parabolic equations. Utilizing the duality argument, the null controllability is reduced to the observability for fourth order backward stochastic parabolic equations, and the desired observability estimate is obtained by a new global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a fourth order stochastic parabolic operator.
Topics & Concepts
ControllabilityObservabilityMathematicsNull (SQL)Parabolic partial differential equationOperator (biology)Duality (order theory)Order (exchange)Applied mathematicsHeat equationMathematical analysisPure mathematicsPartial differential equationChemistryBiochemistryEconomicsFinanceComputer scienceGeneDatabaseTranscription factorRepressorStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems