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math.AP2026
Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system
Cristian Loli, George J. Bautista, Juan Limaco +3
In this manuscript, we are concerned with the hierarchical control of a non-degenerate quasi-linear parabolic system, posed on a bounded interval. We use the Stackelberg-Nash strat…
math.AP2024
Scattering for the generalized Hartree equation with a potential
Carlos M. Guzmán, Cristian Loli, Luis P. Yapu
We consider the focusing generalized Hartree equation in with a potential, \begin{equation*} iu_t + Δu - V(x)u + (I_γ\ast |u|^p )|u|^{p-2} u=0, \end{equation*} where $I…