61 citations · 341 across the 41 of their papers we have counts for
7 papers · 1 filter
Parabolic Lipschitz truncation and Caloric Approximation
L. Diening, S. Schwarzacher, B. Stroffolini +1
We develop an improved version of the parabolic Lipschitz truncation, which allows qualitative control of the distributional time derivative and the preservation of zero boundary v…
A unified theory for some non Newtonian fluids under singular forcing
Miroslav Bulíček, Jan Burczak, Sebastian Schwarzacher
We consider a model of steady, incompressible non-Newtonian flow with neglected convective term under external forcing. Our structural assumptions allow for certain non-degenerate…
Self-improving property of degenerate parabolic equations of porous medium-type
Ugo Gianazza, Sebastian Schwarzacher
We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse Hölder inequality in suitable intrinsic cylinders. We modify the…
Regularity for parabolic systems of Uhlenbeck type with Orlicz growth
Lars Diening, Toni Scharle, Sebastian Schwarzacher
We study the local regularity of -caloric functions or more generally of -caloric functions. In particular, we study local solutions of non-linear parabolic systems with homo…
Existence and regularity for a class of rate-independent systems
Filip Rindler, Sebastian Schwarzacher
Despite the many applications of rate-independent systems, their regularity theory is still largely unexplored. Usually, only weak solution with potentially very low regularity are…
Existence of very weak solutions to elliptic systems of p-Laplacian type
Miroslav Bulíček, Sebastian Schwarzacher
We study vector valued solutions to non-linear elliptic partial differential equations with -growth. Existence of a solution is shown in case the right hand side is the divergen…
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
Miroslav Bulíček, Lars Diening, Sebastian Schwarzacher
We establish existence, uniqueness and optimal regularity results for very weak solutions to certain nonlinear elliptic boundary value problems. We introduce structural asymptotic…