Homogenization theorem establishing resolvent convergence of periodic convolution-type nonlocal operators to a homogenized operator comparable to the fractional Laplacian under Lévy tail assumptions.
Multiscale modeling, homogenization and non- local effects: mathematical and computational issues
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2026 2verdicts
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Homogenization theorems are established for general nonlocal operators with oscillating coefficients in periodic and stochastic settings via Gamma-convergence, extended to nonlinear cases.
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Periodic homogenization of convolution type operators with irregular L\'{e}vy type tails
Homogenization theorem establishing resolvent convergence of periodic convolution-type nonlocal operators to a homogenized operator comparable to the fractional Laplacian under Lévy tail assumptions.
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Periodic and stochastic homogenization of general nonlocal operators with oscillating coefficients
Homogenization theorems are established for general nonlocal operators with oscillating coefficients in periodic and stochastic settings via Gamma-convergence, extended to nonlinear cases.