1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2023
Li-Yau type and Harnack estimates for systems of reaction-diffusion equations via hybrid curvature-dimension condition
Sebastian Kräss, Rico Zacher
We prove Li-Yau and Harnack inequalities for systems of linear reaction-diffusion equations. By introducing an additional discrete spatial variable, the system is rewritten as a sc…
math.AP2023
Aronson-Bénilan and Harnack estimates for the discrete porous medium equation
Sebastian Kräss, Rico Zacher
We consider the porous medium equation (PME) on a locally finite graph and identify suitable curvature-dimension (CD) conditions under which a discrete version of the fundamental A…
math.AP2022★ 1 cited
Li-Yau and Harnack inequalities via curvature-dimension conditions for discrete long-range jump operators including the fractional discrete Laplacian
Sebastian Kräss, Frederic Weber, Rico Zacher
We consider operators of the form on the one-dimensional lattice with symmetric, integrable kernel . We prove se…