Limits at infinity for functions in fractional Sobolev spaces
Angha Agarwal, Pekka Koskela, Kaushik Mohanta
TL;DR
This paper investigates the behavior of functions in fractional Sobolev spaces at infinity, establishing optimal limits that describe their asymptotic properties.
Contribution
It provides the first sharp characterization of limits at infinity for functions within fractional Sobolev spaces.
Findings
Optimal limits at infinity are characterized for fractional Sobolev functions
Results improve understanding of asymptotic behavior in fractional Sobolev spaces
The findings have implications for analysis involving non-local operators
Abstract
We establish optimal results on limits at infinity for functions in fractional Sobolev spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDifferential Equations and Boundary Problems · Nonlinear Partial Differential Equations · Numerical methods in inverse problems