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most citedHölder Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations

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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…

math.AP2023★ 1 cited

Hölder Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations

Verena Bögelein, Frank Duzaar, Ugo Gianazza +2

This paper is devoted to studying the local behavior of non-negative weak solutions to the doubly non-linear parabolic equation \begin{equation*} \partial_t u^q - \text{div}\big(|D…