3 papers
math.AP2026
Regularity theory for sub-critical -parabolic systems with measurable coefficients
Verena Bögelein, Frank Duzaar, Ugo Gianazza +1
A quantitative regularity theory is developed for weak solutions to the parabolic system $$ \partial_t u-\mathrm{div}\,{\boldsymbol{\mathsf A}}(x,t,Du)=0 \quad\text{in }E_T\subset…
math.AP2025
Phragmén-Lindelöf-type theorems for functions in Homogeneous De Giorgi Classes
Simone Ciani, Ugo Gianazza, Zheng Li
We study Phragmén-Lindelöf-type theorems for functions in homogeneous De Giorgi classes, and we show that the maximum modulus of has a power-like growth of orde…
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…