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| File | Size | Format | |
|---|---|---|---|
| 872001709.pdf | 236,59 kB | Adobe PDF | View/Open |
| Title: | Local approximation of arbitrary functions by solutions of nonlocal equations |
| Authors: | Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico |
| Issue Date: | 2016 |
| Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2303, ISSN 2198-5855 |
| Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Abstract: | 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. |
| Keywords: | Density properties; approximation; s-caloric functions |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
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