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Local Boundary Controllability in Classes of Differentiable Functions for the Wave Equation

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The well-known fact following from the Holmgren-John-Tataru uniqueness theorem is a local approximate boundary L2-controllability of the dynamical system governed by the wave equation. Generalizing this result, we establish the… Click to show full abstract

The well-known fact following from the Holmgren-John-Tataru uniqueness theorem is a local approximate boundary L2-controllability of the dynamical system governed by the wave equation. Generalizing this result, we establish the controllability in certain classes of differentiable functions in the domains filled up with waves.

Keywords: differentiable functions; controllability; boundary controllability; wave equation; classes differentiable

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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