Nonlocal-interaction equations on uniformly prox-regular sets

We study the well-posedness of a class of nonlocal-interaction equations on general domains Ω⊂Rd, including nonconvex ones. We show that under mild assumptions on the regularity of domains (uniform proxregularity), for -geodesically convex interaction and external potentials, the nonlocal-interactio...

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Bibliographic Details
Main Authors: Carrillo de la Plata, JA, Slepčev, D, Wu, L
Format: Journal article
Language:English
Published: American Institute of Mathematical Sciences 2016