Homological differential calculus

19 Jun 2019  ·  Vichery Nicolas ·

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. read more

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Algebraic Topology Optimization and Control Symplectic Geometry