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.
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页码：3641 / 3665
页数：25
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