Zobrazeno 1 - 10
of 212
pro vyhledávání: '"Porretta Alessio"'
Autor:
Porretta Alessio
Publikováno v:
Advanced Nonlinear Studies, Vol 20, Iss 2, Pp 361-371 (2020)
It is known that the Sobolev space W1,p(ℝN){W^{1,p}(\mathbb{R}^{N})} is embedded into LNp/(N-p)(ℝN){L^{Np/(N-p)}(\mathbb{R}^{N})} if pN{p>N}. There is usually a discontinuity in the proof of those two different embeddings since, for p>N{
Externí odkaz:
https://doaj.org/article/e75a4edaf7e24145ab38db002fa2aae1
Autor:
Bocchi, Gabriele, Porretta, Alessio
Given a smooth Riemannian manifold $(M,g)$, compact and without boundary, we analyze the dynamical optimal mass transport problem where the cost is given by the sum of the kinetic energy and the relative entropy with respect to a reference volume mea
Externí odkaz:
http://arxiv.org/abs/2401.01953
Autor:
Porretta, Alessio, Ricciardi, Michele
We study an ergodic mean field game problem with state constraints. In our model the agents are affected by idiosyncratic noise and use a (singular) feedback control to prevent the Brownian motion from exiting the domain. We characterize the equilibr
Externí odkaz:
http://arxiv.org/abs/2310.02652
We study the behavior of solutions to the first-order mean field games system with a local coupling, when the initial density is a compactly supported function on the real line. Our results show that the solution is smooth in regions where the densit
Externí odkaz:
http://arxiv.org/abs/2308.00314
Autor:
Porretta, Alessio
We consider Fokker-Planck equations in the whole Euclidean space, driven by Levy processes, under the action of confining drifts, as in the classical Ornstein-Ulhenbeck model. We introduce a new PDE method to get exponential or sub-exponential decay
Externí odkaz:
http://arxiv.org/abs/2210.11090
Autor:
Porretta, Alessio
We analyze optimal transport problems with additional entropic cost evaluated along curves in the Wasserstein space which join two probability measures $m_0,m_1$. The effect of the additional entropy functional results into an elliptic regularization
Externí odkaz:
http://arxiv.org/abs/2203.04856
Publikováno v:
In Journal de mathématiques pures et appliquées October 2024 190
Autor:
Cirant, Marco, Porretta, Alessio
We consider mean field game systems in time-horizon $(0,T)$, where the individual cost functional depends locally on the density distribution of the agents, and the Hamiltonian is locally uniformly convex. We show that, even if the coupling cost func
Externí odkaz:
http://arxiv.org/abs/2101.09965
Autor:
Porretta, Alessio, Rossi, Luca
We analyze a mean-field game model proposed by economists R.E. Lucas and B. Moll (2014) to describe economic systems where production is based on knowledge growth and diffusion. This model reduces to a PDE system where a backward Hamilton-Jacobi-Bell
Externí odkaz:
http://arxiv.org/abs/2010.10828