Matioc, Bogdan-Vasile and Walker, Christoph (2025) The nonlocal fractional mean curvature flow of periodic graphs. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 26 (1). pp. 91-130. ISSN 0391-173X, 2036-2145
Full text not available from this repository.Abstract
We establish the well-posedness of the nonlocal fractional mean curvature flow of order alpha is an element of (0, 1)for periodic graphs on Rn in all subcritical little Holder spaces h(1+beta)(T() )(n)with beta( ) is an element of (0, 1). Furthermore, we prove that if the solution is initially sufficiently close to its integral mean in h(1+beta)(T-)(n), then it exists globally in time and converges exponentially fast towards a constant. The proofs rely on the reformulation of the equation as a quasilinear evolution problem, which is shown to be of parabolic type by a direct localization approach, and on abstract parabolic theories for such problems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | REGULARITY; INTERFACE |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Apr 2026 06:25 |
| Last Modified: | 15 Apr 2026 06:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66290 |
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