Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
We study existence and approximation of non-negative solutions of partial differential equations of the type where A 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 F is a …