Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel
نویسندگان
چکیده
منابع مشابه
Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel
The paper deals with a homogenization problem for a nonlocal linear operator with a kernel of convolution type in a medium with a periodic structure. We consider the natural diffusive scaling of this operator and study the limit behavior of the rescaled operators as the scaling parameter tends to 0. More precisely we show that in the topology of resolvent convergence the family of rescaled oper...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2017
ISSN: 0036-1410,1095-7154
DOI: 10.1137/16m1072292