Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Capitanelli, Raffaela"'
Autor:
Capitanelli, Raffaela, D'Ovidio, Mirko
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, we provide compact and probabilistic representation of the solution t
Externí odkaz:
http://arxiv.org/abs/2412.04973
In this paper we study double obstacle problems involving $(p,q)-$Laplace type operators. In particular, we analyze the asymptotics of the solutions on fractal and pre-fractal boundary domains.
Externí odkaz:
http://arxiv.org/abs/2312.16574
Publikováno v:
Computers & Mathematics with Applications 2021
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 show that this model behaves as an evolutive variational inequality havi
Externí odkaz:
http://arxiv.org/abs/2012.12164
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 any $\alpha\in(0,1)$ to the same stationary state, the solution of the
Externí odkaz:
http://arxiv.org/abs/2012.12023
Autor:
Capitanelli, Raffaela, D'Ovidio, Mirko
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 the fractional Cauchy problem with Robin condition on the pre-fractal
Externí odkaz:
http://arxiv.org/abs/2012.12003
Publikováno v:
Advances in Calculus of Variations 2022
In this paper we study asymptotic behavior of solutions of obstacle problems for $p-$Laplacians as $p\to \infty.$ For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, we provide
Externí odkaz:
http://arxiv.org/abs/1811.03863
Autor:
Capitanelli, Raffaela, D'Ovidio, Mirko
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 subordinators and their inverse processes. Our analysis shows that, quite surpr
Externí odkaz:
http://arxiv.org/abs/1809.03818
Autor:
Capitanelli, Raffaela, D'Ovidio, Mirko
Publikováno v:
This paper is now published (in revised form) in Fract. Calc. Appl. Anal. Vol. 22, No 4 (2019), pp. 844 - 870
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 obtained by considering a general fractional operator in time.
Externí odkaz:
http://arxiv.org/abs/1710.01147
Autor:
Capitanelli, Raffaela, D'Ovidio, Mirko
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 analysis according to the behaviour of the coefficients are presented.
Externí odkaz:
http://arxiv.org/abs/1609.09674
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 classical construction of Kigami for the Laplacian. We introduce a notion
Externí odkaz:
http://arxiv.org/abs/1608.03715