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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
A qualitative study of the generalized dispersive systems with time-delay: The unbounded case
Roberto de A. Capistrano Filho, Fernando Gallego, Vilmos Komornik
We study the asymptotic behavior of the solutions of the time-delayed higher-order dispersive nonlinear differential equation \begin{equation*} u_t(x,t)+Au(x,t) +λ_0(x) u(x,t)+λ(x)…