53 citations · 84 across the 6 of their papers we have counts for
8 papers
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 right…
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-\…
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…
Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations
Goro Akagi, Verena Bögelein, Alice Marveggio +1
We discuss a variational approach to doubly nonlinear wave equations of the form . This approach hinges on the minimization of a parameter-depende…
Higher integrability for the singular porous medium system
Verena Bögelein, Frank Duzaar, Christoph Scheven
In this paper we establish in the fast diffusion range the higher integrability of the spatial gradient of weak solutions to porous medium systems. The result comes along with an e…
Higher integrability for doubly nonlinear parabolic systems
Verena Bögelein, Frank Duzaar, Juha Kinnunen +1
This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the…
Regularity of weak solutions and supersolutions to the porous medium equation
Verena Bögelein, Pekka Lehtelä, Stefan Sturm
We study the relations between different regularity assumptions in the definition of weak solutions and supersolutions to the porous medium equation. In particular, we establish th…
Global Calderòn & Zygmund theory for nonlinear parabolic systems
Verena Bögelein
We establish a global Calderón & Zygmund theory for solutions of a huge class of nonlinear parabolic systems whose model is the inhomogeneous parabolic -Laplacian system \begin{…