2 papers
math.NA2026
A nonlocal coupled system: analysis and discretization
Francisco Bersetche, Enrique Otarola, Daniel Quero
We analyze a nonlocal coupled system arising as the Euler--Lagrange equations of an energy functional involving regional fractional Laplacians of orders and ($ 0 < s_1,…
math.OC2025
A bilinear pointwise tracking optimal control problem for a semilinear elliptic PDE
Enrique Otarola, Daniel Quero, Matias Sasso
We consider a bilinear optimal control problem with pointwise tracking for a semilinear elliptic PDE in two and three dimensions. The control variable enters the PDE as a (reaction…