6 papers
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,…
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…
The spectral fractional Laplacian with measure valued right hand sides: analysis and approximation
Enrique Otarola, Abner J. Salgado
We consider the spectral definition of the fractional Laplace operator and study a basic linear problem involving this operator and singular forcing. In two dimensions, we introduc…
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…
Bilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses
Alejandro Allendes, Gilberto Campaña, Enrique Otarola
We analyze a bilinear optimal control problem for the Stokes--Brinkman equations: the control variable enters the state equations as a coefficient. In two- and three-dimensional Li…
Finite element discretization of weighted -Laplace problems
Enrique Otarola, Abner J. Salgado
We study the finite element approximation of problems involving the weighted -Laplacian, where is an -function and the weight belongs to the class . In particular…