Localized Spatial Homogenization and Large Diffusion
Anı́bal Rodriguez-Bernal · SIAM Journal on Mathematical Analysis · 1998
We analyze singular perturbations in elliptic equations, subjected to various boundary conditions, in which the diffusion is going to infinity in localized regions inside the domain and therefore solutions undergo a localized spatial homogenization. The limiting elliptic operator is analyzed as well as convergence of solutions, eigenvalues, and eigenvectors.