Zanoni, Andrea2023-04-102023-04-102023-04-102023-02-1610.1093/imamat/hxad003https://infoscience.epfl.ch/handle/20.500.14299/196748WOS:000944609000001We 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.Mathematics, AppliedMathematicslangevin equationinfinitesimal generatorhomogenizationeigenvalue problemtwo-scale convergenceweighted sobolev spacespoisson-equationdiffusion-approximationtext::journal::journal article::research article