147 citations · 223 across the 34 of their papers we have counts for
38 papers
Nonlinear Kinetic Diffusion Equations with -Growth
Helge Dietert, Lukas Niebel, Rico Zacher
We establish the local boundedness of (sub-)solutions to nonlinear kinetic diffusion equations with -growth, where the kinetic p-Laplace equation is a prototypical example. A ke…
Particle Dynamics Driven by Charge Exchange
Adrian Schmautz, Rico Zacher
We introduce and analyse a mathematical model describing the dynamics of particles generated by charge-exchange interactions. The model extends the well-established exchange-driven…
Li-Yau and Harnack estimates for nonlocal diffusion problems
Rico Zacher
These notes give a brief introduction to differential Harnack inequalities and summarise the main results of the mini-course ``Li-Yau and Harnack estimates for nonlocal diffusion p…
Nonlocal Fisher information: lifting, local limit, and the Blachman-Stam inequality
Fabian Merz, Rico Zacher
We show that the nonlocal Fisher information - defined as the entropy dissipation of the Boltzmann entropy for nonlocal heat equations - admits a natural lifting in the sense of Gu…
On the Harnack inequality for time-fractional and more general non-local in time subdiffusion equations
Katarzyna Ryszewska, Rico Zacher
In this paper we establish the Harnack inequality for globally positive local solutions to a general class of nonlocal in time subdiffusion equations in one space dimension, which…
Duality estimates for subdiffusion problems including time-fractional porous medium type equations
Arlúcio Viana, Patryk Wolejko, Rico Zacher
We prove duality estimates for time-fractional and more general subdiffusion problems. An important example is given by subdiffusive porous medium type equations. Our estimates can…