LOCALIZED SPATIAL HOMOGENIZATION AND LARGE DIFFUSION

Authors
RODRIGUEZBERNAL A
Citation
A. Rodriguezbernal, LOCALIZED SPATIAL HOMOGENIZATION AND LARGE DIFFUSION, SIAM journal on mathematical analysis (Print), 29(6), 1998, pp. 1361-1380
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis (Print) → ACNP
ISSN journal
00361410
Volume
29
Issue
6
Year of publication
1998
Pages
1361 - 1380
Database
ISI
SICI code
0036-1410(1998)29:6<1361:LSHALD>2.0.ZU;2-#
Abstract
We analyze singular perturbations in elliptic equations, subjected to various boundary conditions, in which the diffusion is going to infini ty in localized regions inside the domain and therefore solutions unde rgo a localized spatial homogenization. The limiting elliptic operator is analyzed as well as convergence of solutions, eigenvalues, and eig envectors.