New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles

2024/06/26 by Diaz, Jesus Ildefonso, Podolskiy, Alexander V., Shaposhnikova, Tatiana A. · 1 citation
#35B27 #35K20 #49K20 #93C20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.18712

Abstract

We pass to the limit in the homogenization of an optimal control problem associated with a parabolic equation with a dynamic boundary condition. New unexpected terms appear due to the critical scale.

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