scholarly journals Controllability problems for the 1-D wave equation on a half-axis with the Dirichlet boundary control

2011 ◽  
Vol 18 (3) ◽  
pp. 748-773 ◽  
Author(s):  
Larissa V. Fardigola
Keyword(s):  
Wave Equation ◽  
Boundary Control ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Control ◽  
Half Axis ◽  
D Wave ◽  
Controllability Problems

scholarly journals The operatorB*Lfor the wave equation with Dirichlet control

2004 ◽  
Vol 2004 (7) ◽  
pp. 625-634 ◽  
Author(s):  
I. Lasiecka ◽  
R. Triggiani
Keyword(s):  
Wave Equation ◽  
Bounded Domain ◽  
Boundary Control ◽  
Dirichlet Boundary ◽  
Arbitrary Dimension ◽  
Energy Methods ◽  
Smooth Bounded Domain ◽  
Dirichlet Boundary Control

In the case of the wave equation, defined on a sufficiently smooth bounded domain of arbitrary dimension, and subject to Dirichlet boundary control, the operatorB*Lfrom boundary to boundary is bounded in theL2-sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component.

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