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Finite rank, relatively bounded perturbations of semigroups generators

I. Lasiecka; R. Triggiani — 1985

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Exact controllability of the Euler-Bernoulli equation with $L_{2}(\Sigma)$ -control only in the Dirichlet Boundary condition

I. Lasiecka; R. Triggiani — 1988

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The paper studies the problem of exact controllability of the Euler- Bernoulli equation in a cylinder $\Omega\times\left[0,T\right]$ of $\mathbb{R}^{n+1}$ , via boundary controls acting on its lateral surface.

Exact controllability of the Euler-Bernoulli equation with $L_{2}(\Sigma)$ -control only in the Dirichlet Boundary condition

I. Lasiecka; R. Triggiani — 1988

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Regularization and finite element approximation of the wave equation with Dirichlet boundary data

I. Lasiecka; J. Sokołowski; P. Neittaanmäki — 1990

Banach Center Publications

The dynamical Lame system : regularity of solutions, boundary controllability and boundary data continuation

M. I. Belishev; I. Lasiecka — 2002

ESAIM: Control, Optimisation and Calculus of Variations

The boundary control problem for the dynamical Lame system (isotropic elasticity model) is considered. The continuity of the “input $\to$ state” map in $L_{2}$ -norms is established. A structure of the reachable sets for arbitrary $T > 0$ is studied. In general case, only the first component $u (\cdot, T)$ of the complete state ${u (\cdot, T), u_{t} (\cdot, T)}$ 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

M. I. Belishev; I. Lasiecka — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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 $u (\cdot, T)$ of the complete state ${u (\cdot, T), u_{t} (\cdot, T)}$ 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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Currently displaying 1 – 9 of 9

Finite rank, relatively bounded perturbations of semigroups generators

Exact controllability of the Euler-Bernoulli equation with $L_{2}(\Sigma)$ -control only in the Dirichlet Boundary condition

Exact controllability of the Euler-Bernoulli equation with $L_{2}(\Sigma)$ -control only in the Dirichlet Boundary condition

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 dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation

The operator $B^{*} L$ for the wave equation with Dirichlet control.

$L_{2} (Σ)$ -regularity of the boundary to boundary operator $B^{*} L$ for hyperbolic and Petrowski PDEs.

Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs.