Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations

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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.
Original languageEnglish
Pages (from-to)1-28
Number of pages28
JournalJournal of Geometric Analysis
DOIs
Publication statusE-pub ahead of print - 11 Jun 2018

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