Abstract

 
 
 We study the behavior of the solution for a class of nonlocal partial differential equation of parabolic-type with non-constant coefficients varying over length scale δ and nonlinear reaction term of scale 1/ε, related to stochastic differential equations driven by multiplicative isotropic α-stable Lévy noise (1 < α < 2). The behavior is required as ε tends to 0 with δ small compared to ε. Our homogenization method
 
 
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