Nonlocal-interaction equations on uniformly prox-regular sets
نویسندگان
چکیده
منابع مشابه
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 prox-regularity), for λ -geodesically convex interaction and external potentials, the nonlocal-interaction equations have unique weak measure solutions. Moreover, we show quantitative estimates on t...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2015
ISSN: 1078-0947
DOI: 10.3934/dcds.2016.36.1209