Application of homogenization and large deviations to a nonlocal parabolic semi-linear equation
Alioune Coulibaly · Malaya Journal of Matematik · 2023
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