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math.AP2021
Boundary regularity for parabolic systems in convex domains
Verena Bögelein, Frank Duzaar, Naian Liao +1
In a cylindrical space-time domain with a convex, spatial base, we establish a local Lipschitz estimate for weak solutions to parabolic systems with Uhlenbeck structure up to the l…
math.AP2021
On the definition of solution to the total variation flow
Juha Kinnunen, Christoph Scheven
We show that the notions of weak solution to the total variation flow based on the Anzellotti pairing and the variational inequality coincide under some restrictions on the boundar…