• Aucun résultat trouvé

Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion

N/A
N/A
Protected

Academic year: 2021

Partager "Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion"

Copied!
49
0
0

Texte intégral

Loading

Références

Documents relatifs

The second order perturbation analysis discussed in this article has been used with success in [27, 28, 30] to analyze the stability properties of Feynman-Kac type particle models,

functions, given locally on the boundary of an open set of C" , of the form {<^ < c} , where the Hessian of ^ satisfies some conditions.. This result will be esta- blished,

In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coecients both in time and in space..

We prove an inequality on the Kantorovich-Rubinstein distance – which can be seen as a particular case of a Wasserstein metric– between two solutions of the spatially

Keywords: blow-up, boundary, elliptic equation, a priori estimate, Lipschitz condition, boundary singularity, annu- lus.. After se use an inversion to have the blow-up point on

The most important part of the work is based on obtaining a priori estimates, using the skew-symmetric form of the leading order term and gauging tech- niques to control

The strategy of Ebin & Marsden [20] to solve the well-posedness problem for the Euler equation was first to recast the equation as an ODE on some approximating Hilbert manifolds

In [7], the authors proposed an existence and uniqueness result for a stochastic Barenblatt equation (in the sense of Itˆ o as in the present pa- per) under Dirichlet