3 papers
math.AP2021
Nonlinear diffusion in transparent media
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its gradient, it is homoge…
math.AP2018
A local estimate for vectorial total variation minimization in one dimension
Lorenzo Giacomelli, Michał Łasica
Let be the minimizer of vectorial total variation () with data-fidelity term on an interval . We show that the total variation of over…
math.AP2017
Regular 1-harmonic flow
Lorenzo Giacomelli, Michał Łasica, Salvador Moll
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps t…