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math.AP2019
Global higher integrability of weak solutions of porous medium systems
Kristian Moring, Christoph Scheven, Sebastian Schwarzacher +1
We establish higher integrability up to the boundary for the gradient of solutions to porous medium type systems, whose model case is given by \begin{equation*} \partial_t u-Δ(|u|^…
math.AP2018
Local Boundedness of Weak Solutions to the Diffusive Wave Approximation of the Shallow Water Equations
Thomas Singer, Matias Vestberg
In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations …