2 papers
math.AP2025
Duality estimates for subdiffusion problems including time-fractional porous medium type equations
Arlúcio Viana, Patryk Wolejko, Rico Zacher
We prove duality estimates for time-fractional and more general subdiffusion problems. An important example is given by subdiffusive porous medium type equations. Our estimates can…
math.AP2020
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations
Petra Wittbold, Patryk Wolejko, Rico Zacher
We prove existence of a bounded weak solution to a degenerate quasilinear subdiffusion problem with bounded measurable coefficients that may explicitly depend on time. The kernel i…