1 citations · 2 across the 14 of their papers we have counts for
4 papers · 2 filters
Higher integrability for singular doubly nonlinear systems
Kristian Moring, Leah Schätzler, Christoph Scheven
We prove a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems whose prototype is $$ \partial_t \left(|u|^{q-1}u \rig…
Supercaloric functions for the porous medium equation in the fast diffusion case
Kristian Moring, Christoph Scheven
We study a generalized class of supersolutions, so-called supercaloric functions to the porous medium equation in the fast diffusion case. Supercaloric functions are defined as low…
On two notions of solutions to the obstacle problem for the singular porous medium equation
Kristian Moring, Christoph Scheven
We show that two different notions of solutions to the obstacle problem for the porous medium equation, a potential theoretic notion and a notion based on a variational inequality,…
Continuity up to the boundary for obstacle problems to porous medium type equations
Kristian Moring, Leah Schätzler
We show that signed weak solutions to obstacle problems for porous medium type equations with Cauchy-Dirichlet boundary data are continuous up to the parabolic boundary, provided t…