论文信息 - Approximate Controllability of a Stochastic Wave Equation

Approximate Controllability of a Stochastic Wave Equation

Abstract 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.

Jong Uhn Kim

[1] Nazim I. Mahmudov,et al. On controllability of semilinear stochastic systems in Hilbert spaces , 2002 .

[2] S. Peszat. The Cauchy problem for a nonlinear stochastic wave equation in any dimension , 2002 .

[3] V. Barbu,et al. Considerations on the controllability of stochastic linear heat equations , 2002 .

[4] Ioannis Karatzas,et al. Brownian Motion and Stochastic Calculus , 1987 .

[5] Pao-Liu Chow. Stochastic Wave Equations with Polynomial Nonlinearity , 2002 .

[6] J. Lions. Exact controllability, stabilization and perturbations for distributed systems , 1988 .