Title of article
Wasserstein metric convergence method for Fokker–Planck equations with point controls
Author/Authors
Petrelli، نويسنده , , Luca and Kearsley، نويسنده , , Anthony J.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
6
From page
1130
To page
1135
Abstract
Monge–Kantorovich mass transfer theory is employed to obtain an existence and uniqueness result for solutions to Fokker–Planck Equations with time dependent point control. Existence for an approximate problem is established together with a convergence analysis in the Wasserstein distance through equivalence with weak- ⋆ convergence.
Keywords
Wasserstein distance , Fokker–Planck equations , Nonlinear diffusion equations , Gradient free minimization , Point controls
Journal title
Applied Mathematics Letters
Serial Year
2009
Journal title
Applied Mathematics Letters
Record number
1526099
Link To Document