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math.AP2026
Boundary regularity for parabolic systems with nonstandard -growth conditions in smooth convex domains
Michael Strunk
We study the boundary regularity of local weak solutions to nonlinear parabolic systems of the form \begin{equation*} \partial_t u^i - \mathrm{div} \big( a(|Du|) Du^i \big)= f^i, \…
math.AP2025
Gradient regularity for widely degenerate parabolic equations
Michael Strunk
In this paper, we are interested in the regularity of weak solutions to parabolic equations of the type \begin{equation*} \partial_t u - \mathrm{div} \nab…
math.AP2025
Gradient regularity for widely degenerate elliptic partial differential equations
Michael Strunk
In this paper, we investigate the regularity of weak solutions to elliptic equations of the type \begin{equation*} \mathrm{div}\, \nabla \mathcal{F}(x,Du) =…