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arXiv · 2604.01803

Avscon the Schur topology

Andreas Buchinger·Marcus Waurick
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Abstract

The aim of the course is to lead to an understanding of homogenisation processes in an operator-theoretic sense. In fact, using solely operator-theoretic means not referring to the particular form of the coefficients, we will identify an operator topology on the level of coefficients that will fully capture the convergence involved in the context of homogenisation. One upshot of this perspective will be that we will obtain homogenisation results for time-dependent partial differential equations (almost) for free.

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Andreas Buchinger, Marcus Waurick. 2026-04-02. Avscon the Schur topology. https://arxiv.org/abs/2604.01803

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