6 papers · 1 filter
Carleson-type removability for -parabolic equations
Michał Borowski, Theo Elenius, Leah Schätzler +1
We characterize removable sets for Hölder continuous solutions to degenerate parabolic equations of -growth. A sufficient and necessary condition for a set to be removable is gi…
Global higher integrability for systems with -growth structure in noncylindrical domains
Kristian Moring, Christoph Scheven, Leah Schätzler
We consider the Cauchy-Dirichlet problem to systems with -growth structure with , whose prototype is \begin{equation*} \partial_t u- \operatorname{div} \big( |Du…
Global higher integrability and Hardy inequalities for double-phase functionals under a capacity density condition
Fabian Bäuerlein, Samuele Riccò, Leah Schätzler
We prove global higher integrability for functionals of double-phase type under a uniform local capacity density condition on the complement of the considered domain $Ω\subset \mat…
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…
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)…
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…