HOMOGENIZATION OF LEVY-TYPE OPERATORS WITH OSCILLATING COEFFICIENTS

被引：12

作者：

Kassmann, M. ^{[1
]}

Piatnitski, A. ^{[2
]}

Zhizhina, E. ^{[3
]}

机构：

[1] Univ Bielefeld, Fak Math, D-335001 Bielefeld, Germany

[2] Arctic Univ Norway, Campus Narvik,POB 385, N-8505 Narvik, Norway

[3] Inst Informat Transmiss Problems RAS, Moscow 127051, Russia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 05期

关键词：

homogenization; Levy-type operator; jump process; INTEGRODIFFERENTIAL EQUATIONS; PERIODIC HOMOGENIZATION; DIFFUSION; BEHAVIOR;

D O I：

10.1137/18M1200038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with homogenization of Levy-type operators with rapidly oscillating coefficients. We consider cases of periodic and random statistically homogeneous micro-structures and show that in the limit we obtain a Levy-operator. In the periodic case we study both symmetric and non-symmetric kernels whereas in the random case we only investigate symmetric kernels. We also address a nonlinear version of this homogenization problem.

引用

页码：3641 / 3665

页数：25

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