Florentine Catharina Fleißner
Published 2020-02-11Version 1
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.
The motion law of fronts for scalar reaction-diffusion equations with multiple wells : the degenerate case,
Schauder regularity results in separable Hilbert spaces
Fine properties of geodesics and geodesic $λ$-convexity for the Hellinger-Kantorovich distance
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