Abstract
We show that we can approximate every function f ∈ Ck (B1) by an s-harmonic function in B1 that vanishes outside a compact set. That is, s-harmonic functions are dense in Clock. This result is clearly in contrast with the rigidity of harmonic functions in the classical case and can be viewed as a purely nonlocal feature.
Original language | English |
---|---|
Pages (from-to) | 957-966 |
Number of pages | 10 |
Journal | Journal of the European Mathematical Society |
Volume | 19 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |