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.
Local approximation of arbitrary functions by solutions of nonlocal equations
E Valdinoci
2019
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.File in questo prodotto:
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Descrizione: Local approximation of arbitrary functions by solutions of nonlocal equations
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Descrizione: Local approximation of arbitrary functions by solutions of nonlocal equations
Tipologia:
Versione Editoriale (PDF)
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Adobe PDF
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