Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations

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.

Gespeichert in:
Autor*in:

Dipierro, Serena [verfasserIn]

Savin, Ovidiu

Valdinoci, Enrico

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2018

Schlagwörter:

Density properties

Approximation

-caloric functions

Anmerkung:

© Mathematica Josephina, Inc. 2018

Übergeordnetes Werk:

Enthalten in: The journal of geometric analysis - New York, NY : Springer, 1991, 29(2018), 2 vom: 11. Juni, Seite 1428-1455

Übergeordnetes Werk:

volume:29 ; year:2018 ; number:2 ; day:11 ; month:06 ; pages:1428-1455

Links:

Volltext

DOI / URN:

10.1007/s12220-018-0045-z

Katalog-ID:

SPR025412310

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