Gevrey regularity for integro-differential operators

Guglielmo Albanese; Alessio Fiscella; Enrico Valdinoci

doi:10.1016/j.jmaa.2015.04.002

Gevrey regularity for integro-differential operators

Guglielmo Albanese, Alessio Fiscella, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Pages (from-to)	1225-1238
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	428
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2015.04.002
Publication status	Published - 1 Jan 2015
Externally published	Yes

Access to Document

10.1016/j.jmaa.2015.04.002

https://arxiv.org/pdf/1504.00831.pdf

Cite this

@article{490b26ca5fcf46db82916b5c9ee3816a,

title = "Gevrey regularity for integro-differential operators",

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.",

keywords = "Fractional Laplacian, Gevrey class, Integro-differential equations",

author = "Guglielmo Albanese and Alessio Fiscella and Enrico Valdinoci",

year = "2015",

month = jan,

day = "1",

doi = "10.1016/j.jmaa.2015.04.002",

language = "English",

volume = "428",

pages = "1225--1238",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press",

number = "2",

}

TY - JOUR

T1 - Gevrey regularity for integro-differential operators

AU - Albanese, Guglielmo

AU - Fiscella, Alessio

AU - Valdinoci, Enrico

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

KW - Fractional Laplacian

KW - Gevrey class

KW - Integro-differential equations

UR - http://www.scopus.com/inward/record.url?scp=84928064970&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2015.04.002

DO - 10.1016/j.jmaa.2015.04.002

M3 - Article

AN - SCOPUS:84928064970

VL - 428

SP - 1225

EP - 1238

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

Gevrey regularity for integro-differential operators

Abstract

Access to Document

Other files and links

Fingerprint

Cite this