3 papers
math.AP2025
Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains
Leah Schätzler, Christoph Scheven, Jarkko Siltakoski +1
We consider the Cauchy-Dirichlet problem to doubly nonlinear systems of the form \begin{align*} \partial_t \big( |u|^{q-1}u \big) - \operatorname{div} \big( D_ξf(x,u,Du) \big) = -…
math.AP2023
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…
math.AP2022
On the Hölder regularity for obstacle problems to porous medium type equations
Kristian Moring, Leah Schätzler
We show that signed weak solutions to parabolic obstacle problems with porous medium type structure are locally Hölder continuous, provided that the obstacle is Hölder continuous.