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math.AP2023★ 1 cited
Observability of the linear Zakharov--Kuznetsov equation
Roberto de A. Capistrano Filho, Vilmos Komornik, Ademir F. Pazoto
We study the linear Zakharov--Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observabilit…
math.AP2023
Boundary Effects on the Controllability of Coupled KdV Systems
F. A. Gallego, A. F. Pazoto, I. Rivas
We study the exact boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations on a bounded interval. The model describes the interactions of two weak…