1 citations · 1 across the 6 of their papers we have counts for
6 papers · 1 filter
Approximation in norm and energy with bounded functions for autonomous variational problems
Pierre Bousquet, Carlo Mariconda, Giulia Treu
We study the approximation of finite-energy Sobolev functions by bounded Sobolev functions for integral functionals associated with possibly signed Carathéodory integrands. The app…
Beyond Constant Truncations: The Bounded Sobolev Approximation Gap
Pierre Bousquet, Carlo Mariconda, Giulia Treu
We study the approximation of finite-energy Sobolev functions by bounded Sobolev functions for integral functionals associated with possibly signed Carathéodory integrands. The app…
Avoidance of the Lavrentiev gap for one-dimensional non autonomous functionals with state constraints
Carlo Mariconda
Let be a positive functional (the "energy"), unnecessarily autonomous, defined on the space of Sobolev functions $W^{1,p}([t,T];…
Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem
Piernicola Bettiol, Carlo Mariconda
We consider a Bolza type optimal control problem of the form \begin{equation}\min J_{t}(y,u):=\int_t^TΛ(s,y(s), u(s))\,ds+g(y(T))\tag{P}\end{equation} Subject to: \begin{eq…
Non-occurrence of gap for one-dimensional non autonomous functionals
Carlo Mariconda
Let be a positive functional, unnecessarily autonomous, defined on the space () of Sobolev…
Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems
Carlo Mariconda
This article deals with the Lipschitz regularity of the ''approximate`` minimizers for the Bolza type control functional of the form \[J_t(y,u):=\int_t^TΛ(s,y(s), u(s))\,ds+g(y(T))…