The operator for the wave equation with Dirichlet control.
-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs.
Finite rank, relatively bounded perturbations of semigroups generators
Exact controllability of the Euler-Bernoulli equation with -control only in the Dirichlet Boundary condition
The paper studies the problem of exact controllability of the Euler- Bernoulli equation in a cylinder of , via boundary controls acting on its lateral surface.
Exact controllability of the Euler-Bernoulli equation with -control only in the Dirichlet Boundary condition
The paper studies the problem of exact controllability of the Euler- Bernoulli equation in a cylinder of , via boundary controls acting on its lateral surface.
Regularization and finite element approximation of the wave equation with Dirichlet boundary data
The dynamical Lame system : regularity of solutions, boundary controllability and 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 continuation....
The dynamical Lame system: regularity of solutions, boundary controllability and 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...
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