K. Moring

activity

20192024

collaborators

3 papers

math.AP2024

On notions of $p$ -parabolic capacity and applications

Kristian Moring, Christoph Scheven

We consider different notions of capacity related to the parabolic $p$ -Laplace equation. Our focus is on a variational notion, which is consistent in the full range $1 < p < \infty$ . F…

math.AP2020

Supercaloric functions for the parabolic $p$ -Laplace equation in the fast diffusion case

Ratan Kr. Giri, Juha Kinnunen, Kristian Moring

We study a generalized class of supersolutions, so-called $p$ -supercaloric functions, to the parabolic $p$ -Laplace equation. This class of functions is defined as lower semicontinu…

math.AP2019

Global higher integrability of weak solutions of porous medium systems

Kristian Moring, Christoph Scheven, Sebastian Schwarzacher +1

We establish higher integrability up to the boundary for the gradient of solutions to porous medium type systems, whose model case is given by \begin{equation*} \partial_t u-Δ(|u|^…

On notions of p-parabolic capacity and applications

Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case

Global higher integrability of weak solutions of porous medium systems

On notions of $p$ -parabolic capacity and applications

Supercaloric functions for the parabolic $p$ -Laplace equation in the fast diffusion case