Geodesic
Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales
Applications of Mathematics, Tome 69 (2024) no. 1, pp. 1-24.

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We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter $\varepsilon $. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.
DOI : 10.21136/AM.2023.0269-22
Classification : 35B27
Keywords: homogenization; parabolic; monotone; two-scale convergence; multiscale convergence; very weak multiscale convergence 
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Danielsson, Tatiana; Flodén, Liselott; Johnsen, Pernilla; Olsson Lindberg, Marianne. Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales. Applications of Mathematics, Tome 69 (2024) no. 1, pp. 1-24. doi : 10.21136/AM.2023.0269-22. http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0269-22/

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