Christoph Scheven

activity

20242026

collaborators

3 papers

math.AP2026

Local boundedness for solutions to parabolic $p, q$ -problems with degenerate coefficients

Flavia Giannetti, Antonia Passarelli di Napoli, Christoph Scheven

We investigate the local boundedness of solutions $u : Ω_{T} \to R$ to parabolic equations of the form \begin{equation*} \partial_tu-\mathrm{div}\,\mathcal{A}(x,t,Du)=0 \qquad\m…

math.AP2025

Global higher integrability for systems with $p$ -growth structure in noncylindrical domains

Kristian Moring, Christoph Scheven, Leah Schätzler

We consider the Cauchy-Dirichlet problem to systems with $p$ -growth structure with $1 < p < \infty$ , whose prototype is \begin{equation*} \partial_t u- \operatorname{div} \big( |Du…

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…

Local boundedness for solutions to parabolic p,q-problems with degenerate coefficients

Global higher integrability for systems with p-growth structure in noncylindrical domains

On notions of p-parabolic capacity and applications

Local boundedness for solutions to parabolic $p, q$ -problems with degenerate coefficients

Global higher integrability for systems with $p$ -growth structure in noncylindrical domains

On notions of $p$ -parabolic capacity and applications