5 papers · 1 filter
A comparison principle for a class of doubly nonlinear parabolic fractional partial differential equations
Michael Strunk
In this paper, we establish a comparison principle for non-negative weak solutions to a class of doubly nonlinear parabolic fractional partial differential equations within a space…
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, \…
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} \na…
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)…
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations
Michael Strunk
In this paper, we study the local gradient regularity of non-negative weak solutions to doubly nonlinear parabolic partial differential equations of the type \begin{align*} \partia…