Abstract
| 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 |
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All functions are locally s-harmonic up to a small error. / Dipierro, Serena ; Savin, Ovidiu; Valdinoci, Enrico .
In: Journal of the European Mathematical Society, Vol. 19, No. 4, 2017, p. 957-966.Research output: Contribution to journal › Article
TY - JOUR
T1 - All functions are locally s-harmonic up to a small error
AU - Dipierro, Serena
AU - Savin, Ovidiu
AU - Valdinoci, Enrico
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
U2 - 10.4171/jems/684
DO - 10.4171/jems/684
M3 - Article
VL - 19
SP - 957
EP - 966
JO - Journal of the European Mathematical Society
JF - Journal of the European Mathematical Society
SN - 1435-9855
IS - 4
ER -