Homogenization of nonlocal spectral problems
Andrey Lvovich Piatnitski, Volodymyr Rybalko · arXiv (Cornell University) · 2024
We study asymptotic behavior of the bottom point of the spectrum of convolution type operators in environments with locally periodic microstructure. We show that its limit is described by an additive eigenvalue problem for Hamilton-Jacobi equation. In the periodic case we establish a more accurate two-term asymptotic formula.