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Stabilization of the Kawahara-Kadomtsev-Petviashvili equation with time-delayed feedback

Roberto de A. Capistrano-Filho (DMat/UFPE)Victor H. Gonzalez Martinez (DMat/UFPE)Juan Ricardo Mu\~noz (DMat/UFPE)
Dec 2022
摘要
Results of stabilization for the higher order of the Kadomtsev-Petviashviliequation are presented in this manuscript. Precisely, we prove with twodifferent approaches that under the presence of a damping mechanism and aninternal delay term (anti-damping) the solutions of theKawahara-Kadomtsev-Petviashvili equation are locally and globally exponentiallystable. The main novelty is that we present the optimal constant, as well asthe minimal time, that ensures that the energy associated with this system goesto zero exponentially.
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