4 citations · 7 across the 3 of their papers we have counts for
7 papers
Fractional Sobolev Spaces and Functions of Bounded Variation
M. Bergounioux, A. Leaci, G. Nardi +1
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fractional Sobolev spaces, the space of functions of bounded variation, whose de…
The matching problem between functional shapes via a BV penalty term: a -convergence result
G. Nardi, B. Charlier, A. Trouvé
This paper proves a -convergence result for the discrete energy (to the continuous one) of the matching problem for signals defined on surfaces. In particular, we highlight some…
Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics
G. Nardi, G. Peyré, F. -X. Vialard
This paper studies the space of planar curves endowed with the Finsler metric over its tangent space of displacement vector fields. Such a space is of interest for ap…
Piecewise rigid curve deformation via a Finsler steepest descent
Guillaume Charpiat, Giacomo Nardi, Gabriel Peyré +1
This paper introduces a novel steepest descent flow in Banach spaces. This extends previous works on generalized gradient descent, notably the work of Charpiat et al., to the setti…
Schauder estimate for solutions of Poisson's equation with Neumann boundary condition
Giacomo Nardi
In this work we consider the Neumann problem for the Laplace operator and we prove an existence result in the Hölder spaces and obtain Schauder estimates. According to our knowledg…
A coarea-type formula for the relaxation of a generalized elastica functional
Simon Masnou, Giacomo Nardi
We consider in R^2 the generalized elastica functional defined, for smooth functions, as the p-elastica energies of the level lines integrated over all levels. Extending the functi…
Gradient Young measures, varifolds, and a generalized Willmore functional
Simon Masnou, Giacomo Nardi
Being Omega an open and bounded Lipschitz domain of R^n, we consider the generalized Willmore functional on Omega defined, for smooth functions, as the p-Willmore energy of each is…