Journal article
Nonlocal-interaction equations on uniformly prox-regular sets
- Abstract:
-
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-interaction equations have unique weak measure solutions. Moreover, we show quantitative estimates on the stability of solutions which quantify the interplay of the geometry of the domain and the convexity o...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- American Institute of Mathematical Sciences Publisher's website
- Journal:
- Discrete & Continuous Dynamical Systems Journal website
- Volume:
- 36
- Issue:
- 3
- Pages:
- 1209-1247
- Publication date:
- 2016-03-01
- DOI:
- EISSN:
-
1553-5231
- ISSN:
-
1078-0947
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1098268
- Local pid:
- pubs:1098268
- Deposit date:
- 2020-04-17
Terms of use
- Copyright holder:
- American Institute of Mathematical Sciences
- Copyright date:
- 2016
- Rights statement:
- © 2016 American Institute of Mathematical Sciences
- Notes:
- This is the accepted manuscript version of the article. The publisher's version is available online
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