1 citations · 3 across the 5 of their papers we have counts for
6 papers
A Kernel-Density-Estimator Minimizing Movement Scheme for Diffusion Equations
Florentine Fleißner
The mathematical theory of a novel variational approximation scheme for general second and fourth order partial differential equations \begin{equation}\label{eq: A} \partial_t u -…
A note on the differentiability of the Hellinger-Kantorovich distances
Florentine Fleißner
This paper will deal with differentiability properties of the class of Hellinger-Kantorovich distances which was recently introduced on the space of finite nonnegative Radon measur…
A Minimizing Movement approach to a class of scalar reaction-diffusion equations
Florentine Catharina Fleißner
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…
Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi
Florentine Fleißner, Giuseppe Savaré
We consider the Cauchy problem for the gradient flow \begin{equation} \label{eq:81} \tag{} u'(t)=-\nablaϕ(u(t)),\quad t\ge 0;\quad u(0)=u_0, \end{equation} generated by a co…
Minimal solutions to generalized Lambda-semiflows and gradient flows in metric spaces
Florentine Fleißner
Generalized Lambda-semiflows are an abstraction of semiflows with non-periodic solutions, for which there may be more than one solution corresponding to given initial data. A selec…
Gamma-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach
Florentine Fleißner
We present new abstract results on the interrelation between the minimizing movement scheme for gradient flows along a sequence of Gamma-converging functionals and the gradient flo…