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We study existence and approximation of non-negative solutions of partial differential equations of the type
where is a symmetric matrix-valued function of the spatial variable satisfying a uniform ellipticity condition, is a suitable non decreasing function, is a convex function. Introducing the energy functional , where is a convex function linked to by , we show that is the “gradient flow” of with respect to the 2-Wasserstein distance between probability...
We study existence and approximation of non-negative solutions of partial differential equations of the type
where is a symmetric matrix-valued function of the spatial variable satisfying a uniform ellipticity condition,
is a suitable non decreasing function, is a convex function.
Introducing the energy functional ,
where is a convex function linked to by ,
we show that is the “gradient flow” of with respect to the
2-Wasserstein distance between probability measures on
the space...
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