The boundary control problem for the dynamical Lame system (isotropic elasticity model) is considered. The continuity of the “input state” map in -norms is established. A structure of the reachable sets for arbitrary is studied. In general case, only the first component of the complete state may be controlled, an approximate controllability occurring in the subdomain filled with the shear (slow) waves. The controllability results are applied to the problem of the boundary data continuation....
The boundary control problem for the dynamical Lame system
(isotropic elasticity model) is considered. The continuity of
the “input → state" map in
-norms is established. A structure of the
reachable sets for arbitrary is studied.
In general case, only the first component of the
complete state
may be controlled, an approximate controllability occurring in
the subdomain filled with the shear (slow) waves.
The controllability results are applied to the problem of the boundary
data...
This work is devoted to numerical experiments for multidimensional
Spectral Inverse Problems. We check the efficiency of the algorithm
based on the BC-method, which exploits relations between Boundary
Control Theory and Inverse Problems. As a test, the problem for an
ellipse is considered. This case is of interest due to the fact
that a field of normal geodesics loses regularity on a nontrivial
separation set. The main result is that the BC-algorithm works
quite successfully in spite of...
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