4 citations · 26 across the 69 of their papers we have counts for
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Decay estimates in time for classical and anomalous diffusion
Elisa Affili, Serena Dipierro, Enrico Valdinoci
We present a series of results focused on the decay in time of solutions of classical and anomalous diffusive equations in a bounded domain. The size of the solution is measured in…
Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type
Annalisa Cesaroni, Serena Dipierro, Matteo Novaga +1
We consider an energy functional combining the square of the local oscillation of a one--dimensional function with a double well potential. We establish the existence of minimal he…
Local density of Caputo-stationary functions of any order
Alessandro Carbotti, Serena Dipierro, Enrico Valdinoci
We show that any given function can be approximated with arbitrary precision by solutions of linear, time-fractional equations of any prescribed order. This extends a recent result…
Local density of solutions of time and space fractional equations
Alessandro Carbotti, Serena Dipierro, Enrico Valdinoci
We prove that any given function can be smoothly approximated by functions lying in the kernel of a linear operator involving at least one fractional component. The setting in whic…
A free boundary problem driven by the biharmonic operator
Serena Dipierro, Aram Karakhanyan, Enrico Valdinoci
In this paper we consider the minimization of the functional \[ J[u]:=\int_Ω|Δu|^2+χ_{\{u>0\}} \] in the admissible class of functions \[ \mathcal A:= \left\{u\in W^{2, 2}(Ω) {\mbo…
Fattening and nonfattening phenomena for planar nonlocal curvature flows
Annalisa Cesaroni, Serena Dipierro, Matteo Novaga +1
We discuss fattening phenomenon for the evolution of planar curves according to their nonlocal curvature. More precisely, we consider a class of generalized curvatures which corres…