Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries
Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries
We study well-posedness of a class of nonlocal interaction equations with spatially dependent mobility. We also allow for the presence of boundaries and external potentials. Such systems lead to the study of nonlocal interaction equations on subsets ℳ of ℝ d endowed with a Riemannian metric g. We obtain conditions, …