15 citations · 22 across the 8 of their papers we have counts for
13 papers
Trap behaviors for Brownian motions
Raffaela Capitanelli, Mirko D'Ovidio
This paper investigates the relationship between the geometric properties of a domain and the diffusion dynamics of Brownian motion, with a specific focus on the phenomenon of "tra…
On the Laplace equation with non-local dynamical boundary conditions
Raffaela Capitanelli, Mirko D'Ovidio
Aim of the paper is to study non-local dynamic boundary conditions of reactive-diffusive type for the Laplace equation from analytic and probabilistic point of view. In particular,…
Convergence results for the solutions of -Laplacian double obstacle problems on irregular domains
Raffaela Capitanelli, Salvatore Fragapane
In this paper we study double obstacle problems involving Laplace type operators. In particular, we analyze the asymptotics of the solutions on fractal and pre-fractal boun…
A numerical study of an Heaviside function driven degenerate diffusion equation
Carlo Alberini, Raffaela Capitanelli, Stefano Finzi Vita
We analyze a nonlinear degenerate parabolic problem whose diffusion coefficient is the Heaviside function of the distance of the solution itself from a given target function. We sh…
On the time fractional heat equation with obstacle
Carlo Alberini, Raffaela Capitanelli, Mirko D'Ovidio +1
We study a Caputo time fractional degenerate diffusion equation which we prove to be equivalent to the fractional parabolic obstacle problem, showing that its solution evolves for…
Fractional Cauchy problem on random snowflakes
Raffaela Capitanelli, Mirko D'Ovidio
We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study…
Limit of p-Laplacian Obstacle problems
Raffaela Capitanelli, Maria Agostina Vivaldi
In this paper we study asymptotic behavior of solutions of obstacle problems for Laplacians as For the one-dimensional case and for the radial case, we give an e…
Delayed and rushed motions through time change
Raffaela Capitanelli, Mirko D'Ovidio
We introduce a definition of delayed and rushed processes in terms of lifetimes of base processes and time-changed base processes. Then, we consider time changes given by subordina…
Fractional equations via convergence of forms
Raffaela Capitanelli, Mirko D'Ovidio
We relate the convergence of time-changed processes driven by fractional equations to the convergence of corresponding Dirichlet forms. The fractional equations we dealt with are o…
Asymptotics for time-changed diffusions
Raffaela Capitanelli, Mirko D'Ovidio
We consider time-changed diffusions driven by generators with discontinuous coefficients. The PDE's connections are investigated and in particular some results on the asymptotic an…
Absolutely Minimizing Lipschitz Extensions and Infinity Harmonic Functions on the Sierpinski gasket
Fabio Camilli, Raffaela Capitanelli, Maria Agostina Vivaldi
Aim of this note is to study the infinity Laplace operator and the corresponding Absolutely Minimizing Lipschitz Extension problem on the Sierpinski gasket in the spirit of the cla…
Skew Brownian diffusions across Koch interfaces
Raffaela Capitanelli, Mirko D'Ovidio
We consider planar skew Brownian motion (BM) across pre-fractal Koch interfaces and moving on . We study the asymptotic beh…
Eikonal equations on the Sierpinski gasket
Fabio Camilli, Raffaela Capitanelli, Claudio Marchi
We study the eikonal equation on the Sierpinski gasket in the spirit of the construction of the Laplacian in Kigami [8]: we consider graph eikonal equations on the prefractals and…