Feedback stabilization and boundary controllability of the Korteweg-de Vries equation on a star-shaped network
arXiv:1706.05298
Abstract
We propose a model using the Korteweg-de Vries equation on a finite star-shaped network. We first prove the well-posedness of the system and give some regularity results. Then we prove that the energy of the solutions of the dissipative system decays exponentially to zero when the time tends to infinity. Lastly we show an exact boundary controllability result.
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