scholarly journals Exact Controllability for a Refined Stochastic Wave Equation

2021 ◽  
pp. 331-361
Author(s):  
Qi Lü ◽  
Xu Zhang
Keyword(s):  
Wave Equation ◽  
Exact Controllability ◽  
Stochastic Wave Equation

scholarly journals Exact controllability for a nonlinear stochastic wave equation

2006 ◽  
Vol 2006 ◽  
pp. 1-14 ◽  
Author(s):  
Bui An Ton
Keyword(s):  
Wave Equation ◽  
Boundary Control ◽  
Open Subset ◽  
Linear Growth ◽  
Exact Controllability ◽  
Stochastic Wave Equation ◽  
Bounded Open Subset

The exact controllability for a semilinear stochastic wave equation with a boundary control is established. The target and initial spaces areL2(G)×H−1(G)withGbeing a bounded open subset ofR3and the nonlinear terms having at most a linear growth.

scholarly journals Exact controllability for a semilinear wave equation with both interior and boundary controls

2005 ◽  
Vol 2005 (6) ◽  
pp. 619-637 ◽  
Author(s):  
Bui An Ton
Keyword(s):  
Wave Equation ◽  
Exact Controllability ◽  
Open Domain ◽  
Semilinear Wave Equation ◽  
Boundary Controls ◽  
Feedback Laws

The exact controllability of a semilinear wave equation in a bounded open domain ofRn, with controls on a part of the boundary and in the interior, is shown. Feedback laws are established.

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