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Rodríguez Bernal, Aníbal (1998) Localized spatial homogenization and large diffusion. SIAM Journal on Mathematical Analysis , 29 (6). pp. 1361-1380. ISSN 0036-1410
Official URL: http://epubs.siam.org/doi/pdf/10.1137/S003614109731864X
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Singular perturbation; Eigenvalue problems; Large diffusion; Convergence; Linear elliptic boundary value problems; Limiting elliptic problem; Differential-equations; Asymptotic-behavior; Construction; Systems |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 19836 |
| Deposited On: | 07 Feb 2013 11:34 |
| Last Modified: | 12 Dec 2018 15:07 |
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