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arXiv · 2002.04496

A Minimizing Movement approach to a class of scalar reaction-diffusion equations

Florentine Catharina Fleißner
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Abstract

The purpose of this paper is to introduce a Minimizing Movement approach to a class of scalar reaction-diffusion equations, which is built on their gradient-flow-like structure in the space of finite nonnegative Radon measures, endowed with the recently introduced Hellinger-Kantorovich distance. Moreover, a superdifferentiability property of the Hellinger-Kantorovich distance, which will play an important role in this context, is established in the general setting of a separable Hilbert space.

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Florentine Catharina Fleißner. 2020-02-11. A Minimizing Movement approach to a class of scalar reaction-diffusion equations. https://arxiv.org/abs/2002.04496

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