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math.OC2021★ 1 cited
Optimal control of linear non-local parabolic problems with an integral kernel
Umberto Biccari, Víctor Hernández-Santamaría, Loic Louison +1
We consider a linear non-local heat equation in a bounded domain , , with Dirichlet boundary conditions, where the non-locality is given by the prese…
math.AP2021
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system
Víctor Hernández-Santamaría
In this paper, we study some controllability and observability properties for a coupled system of time-discrete fourth- and second-order parabolic equations. This system can be reg…
math.AP2021
Existence and convergence of solutions to fractional pure critical exponent problems
Víctor Hernández-Santamaría, Alberto Saldaña
We study existence and convergence properties of least-energy symmetric solutions (l.e.s.s.) to the pure critical problem \begin{equation*} (-Δ)^su_s=|u_s|^{2^\star_s-2}u_s, \quad…