Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1-28 |
| Number of pages | 28 |
| Journal | Journal of Geometric Analysis |
| DOIs | |
| Publication status | E-pub ahead of print - 11 Jun 2018 |
Fingerprint
Cite this
}
Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations. / Dipierro, Serena ; Savin, Ovidiu ; Valdinoci, Enrico .
In: Journal of Geometric Analysis, 11.06.2018, p. 1-28.Research output: Contribution to journal › Article
TY - JOUR
T1 - Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations
AU - Dipierro, Serena
AU - Savin, Ovidiu
AU - Valdinoci, Enrico
PY - 2018/6/11
Y1 - 2018/6/11
N2 - We show that any function can be locally approximated by solutions of prescribed linear equations of nonlocal type. In particular, we show that every function is locally s-caloric, up to a small error. The case of non-elliptic and non-parabolic operators is taken into account as well.
AB - We show that any function can be locally approximated by solutions of prescribed linear equations of nonlocal type. In particular, we show that every function is locally s-caloric, up to a small error. The case of non-elliptic and non-parabolic operators is taken into account as well.
U2 - 10.1007/s12220-018-0045-z
DO - 10.1007/s12220-018-0045-z
M3 - Article
SP - 1
EP - 28
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
SN - 1050-6926
ER -