bounded domains 1elliptic equations 1interpolation theory 1nonlocal operators 1parabolic equations 1self-improving estimates 1
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math.OC2026
A pointwise tracking optimal control problem for a fractional, semilinear PDE
Enrique Otarola, Abner J. Salgado
We analyze an optimal control problem with pointwise tracking for a fractional semilinear elliptic partial differential equation. The diffusion is characterized by the spectral fra…
math.OC2025
A perturbed preconditioned gradient descent method for the unconstrained minimization of composite objectives
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
We introduce a perturbed preconditioned gradient descent (PPGD) method for the unconstrained minimization of a strongly convex objective with a locally Lipschitz continuous gra…
math.OC2024
Asymptotic compatibility of parametrized optimal design problems
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study optimal design problems where the design corresponds to a coefficient in the principal part of the state equation. The state equation, in addition, is parameter dependent,…