Local boundary controllability in classes of differentiable functions for the wave equation

2017/08/03 by Μ. I. Belishev, Belishev, M. I.
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1708.01303

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.

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