3 papers
math.OC2023
Fractional, semilinear, and sparse optimal control: a priori error bounds
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
In this work, we use the integral definition of the fractional Laplace operator and study a sparse optimal control problem involving a fractional, semilinear, and elliptic partial…
math.NA2023
Bilinear optimal control for the fractional Laplacian: analysis and discretization
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
We adopt the integral definition of the fractional Laplace operator and study an optimal control problem on Lipschitz domains that involves a fractional elliptic partial differenti…
cs.MA2022
Generalizing Liquid Democracy to multi-agent delegation: A Voting Weight Measure and Equilibrium Analysis
Francisco M. Bersetche
In this study, we propose a generalization of the classic model of liquid democracy that allows fractional delegation of voting weight, while simultaneously allowing for the existe…