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Applied Mathematics and Optimization, Vol.49, No.1, 81-98, 2004
Approximate controllability of a stochastic wave equation
In this paper we discuss the controllability of a wave equation with random noise. Our main tools are the Ito representation theorem and an adaptation of the Hilbert uniqueness method for the exact controllability of deterministic equations.
Keywords:wave equation;approximate controllability;the Ito representation theorem;Hilbert uniqueness method;pathwise solutions;measurability;Brownian motion