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research article
Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces
February 16, 2023
We study the homogenization of the Poisson equation with a reaction term and of the eigenvalue problem associated to the generator of multiscale Langevin dynamics. Our analysis extends the theory of two-scale convergence to the case of weighted Sobolev spaces in unbounded domains. We provide convergence results for the solution of the multiscale problems above to their homogenized surrogate. A series of numerical examples corroborate our analysis.
Type
research article
Web of Science ID
WOS:000944609000001
Authors
Publication date
2023-02-16
Publisher
Published in
Volume
88
Issue
1
Start page
67
End page
101
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 10, 2023
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