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math.OC2023★ 1 cited
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs
Lorenzo Portinale, Filippo Quattrocchi
We prove discrete-to-continuum convergence for dynamical optimal transport on -periodic graphs with energy density having linear growth at infinity. This result provi…
math.OC2019★ 4 cited
Penalization via global functionals of optimal-control problems for dissipative evolution
Lorenzo Portinale, Ulisse Stefanelli
We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a n…