3 papers
math.AP2026
Calderón-Zygmund estimates for parabolic -Laplacian systems with non-divergence form right-hand sides
Pêdra Andrade, Verena Bögelein, Frank Duzaar +1
We establish local Calderón-Zygmund type estimates for weak solutions to nonlinear parabolic systems with -growth and VMO coefficients. In particular, we prove that if the righ…
math.AP2025
Parabolic PDEs with Dynamic Data under a Bounded Slope Condition
Verena Bögelein, Frank Duzaar, Giulia Treu
We establish the existence of Lipschitz continuous solutions to the Cauchy Dirichlet problem for a class of evolutionary partial differential equations of the form $$ \partial_tu-\…
math.AP2025
Local boundedness and higher integrability for the sub-critical singular porous medium system
Verena Bögelein, Frank Duzaar, Ugo Gianazza +1
The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the crit…