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math.AP2024
Improved moduli of continuity for degenerate phase transitions
Ugo Gianazza, Naian Liao, José Miguel Urbano
We substantially improve in two scenarios the current state-of-the-art modulus of continuity for weak solutions to the -dimensional, two-phase Stefan problem featuring a deg…
math.AP2024
Boundary Estimates for Doubly Nonlinear Parabolic Equations
Ugo Gianazza, David Jesus
We consider non-negative, weak solutions to the doubly nonlinear parabolic equation $$ \partial_t u^q-\mbox{div}(|Du|^{p-2}Du)=0 $$ in the super-critical fast diffusion regime $0<p…