Gevrey regularity for integro-differential operators

被引：7

作者：

Albanese, Guglielmo ^{[1
]}

Fiscella, Alessio ^{[1
,3
]}

Valdinoci, Enrico ^{[1
,2
,4
]}

机构：

[1] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy

[2] Weierstr Inst Angew Anal & Stochast, D-10117 Berlin, Germany

[3] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP, Brazil

[4] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 428卷 / 02期

关键词：

Integro-differential equations; Gevrey class; Fractional Laplacian; LEVY FLIGHTS; PATTERNS; CONTEXT;

D O I：

10.1016/j.jmaa.2015.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove for some singular kernels K(x, y) that viscosity solutions of the integrodifferential equation locally belong to some Gevrey class if so does f. The fractional Laplacian equation is included in this framework as a special case. (C) 2015 Elsevier Inc. All rights reserved.integral(Rn)[u(x + y) + u(x - y) - 2u(x)] K(x, y)dy = f (x)

引用

页码：1225 / 1238

页数：14

共 28 条

[1]

[Anonymous], 2002, A Primer of Real Analytic Functions

[2]

[Anonymous], 2009, Multiple Integrals in the Calculus of Variations.

[3]

Barrios B., 2014, ANN SC NORM SUPER PI, VXIII, P1

[4] Optimizing the encounter rate in biological interactions: Levy versus Brownian strategies [J].