3 papers
math.AP2022
The bounded slope condition for parabolic equations with time-dependent integrands
Leah Schätzler, Jarkko Siltakoski
In this paper, we study the Cauchy-Dirichlet problem \begin{equation*} \left\{ \begin{array}{ll} \mbox{ } & \mbox{i…
math.AP2021
On the Hölder regularity of signed solutions to a doubly nonlinear equation. Part III
Naian Liao, Leah Schätzler
We establish the local Hölder continuity of possibly sign-changing solutions to a class of doubly nonlinear parabolic equations whose prototype is \[ \partial_t\big(|u|^{q-1}u\big)…
math.AP2021
On the Hölder regularity of signed solutions to a doubly nonlinear equation. Part II
Verena Bögelein, Frank Duzaar, Naian Liao +1
We demonstrate two proofs for the local Hölder continuity of possibly sign-changing solutions to a class of doubly nonlinear parabolic equations whose prototype is \[ \partial_t\bi…