A Minimizing Movement approach to a class of scalar reaction-diffusion equations
Analysis of PDEs
2020-02-12 v1
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.
Keywords
Cite
@article{arxiv.2002.04496,
title = {A Minimizing Movement approach to a class of scalar reaction-diffusion equations},
author = {Florentine Catharina Fleißner},
journal= {arXiv preprint arXiv:2002.04496},
year = {2020}
}