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arXiv · 1310.4845

Homological differential calculus

Nicolas Vichery
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Abstract

This article provides a definition of a subdifferential for continuous functions based on homological considerations. We show that it satisfies all the requirement for a good notion of subdifferential. Moreover, we prove sublinearity, a Leibniz formula and an approximation result. This work fits in the framework of microlocal analysis of sheaves for C^0 symplectic problems and application to Aubry-Mather theory.

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Nicolas Vichery. 2013-10-17. Homological differential calculus. https://arxiv.org/abs/1310.4845

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