Gevrey regularity for integro-differential operators

Guglielmo Albanese, Alessio Fiscella, Enrico Valdinoci

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove for some singular kernels K(x, y) that viscosity solutions of the integro-differential equation. ∫Rn[u(x+y)+u(x-y)-2u(x)]K(x,y)dy=f(x) locally belong to some Gevrey class if so does f. The fractional Laplacian equation is included in this framework as a special case.

Original languageEnglish
Pages (from-to)1225-1238
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume428
Issue number2
DOIs
Publication statusPublished - 1 Jan 2015
Externally publishedYes

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