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math.AP2022
On the stability of the Kawahara equation with a distributed infinite memory
Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus
This article will deal with the stabilization problem for the higher-order dispersive system, commonly called the Kawahara equation. To do so, we introduce a damping mechanism via…
math.AP2022★ 16 cited
Two stability results for the Kawahara equation with a time-delayed boundary control
Roberto de A. Capistrano-Filho, Boumediène Chentouf, Luan S. de Sousa +1
In this paper, we consider the Kawahara equation in a bounded interval and with a delay term in one of the boundary conditions. Using two different approaches, we prove that this s…