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20212024
most citedHölder Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2024

Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations

Goro Akagi, Verena Bögelein, Alice Marveggio +1

We discuss a variational approach to doubly nonlinear wave equations of the form . This approach hinges on the minimization of a parameter-depende…

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…

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…