All functions are locally s-harmonic up to a small error

Research output: Contribution to journalArticle

27 Citations (Scopus)

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 languageEnglish
Pages (from-to)957-966
Number of pages10
JournalJournal of the European Mathematical Society
Volume19
Issue number4
DOIs
Publication statusPublished - 2017
Externally publishedYes

    Fingerprint

Cite this