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Showing 2015 · math.APShow all
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math.AP2015
Local and global solution for a nonlocal Fokker-Planck equation related to the adaptive biaising force processes
Houssam Alrachid, Tony Lelièvre, Raafat Talhouk
We prove global existence, uniqueness and regularity of the mild, Lp and classical solution of a non-linear Fokker-Planck equation arising in an adaptive importance sampling method…
math.AP2015★ 3 cited
A rigorous setting for the reinitialization of first order level set equations
Nao Hamamuki, Eleftherios Ntovoris
In this paper we set up a rigorous justification for the reinitialization algorithm. Using the theory of viscosity solutions, we propose a well-posed Hamilton-Jacobi equation with…
math.AP2015★ 3 cited
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data
Benjamin Jourdain, Julien Reygner
This article is dedicated to the study of diagonal hyperbolic systems in one space dimension, with cumulative distribution functions, or more generally nonconstant monotonic bounde…